Treasure Trails/Rewards

From the RuneScape Wiki, the wiki for all things RuneScape
Jump to: navigation, search
Headless arrow detail.png
This section or article is incomplete and could do with improvement.
Reason: Master clues/Rework
You can discuss this issue on the talk page or edit this page to improve it.

This page is about the mechanics of how a Treasure Trail's rewards are determined and calculations from this to determine drop chances of each reward.

Most clues operate on a series of drop tables with associated chances to access. They start with an initial table which contains all the rewards common to all levels of trails - sweets, meerkats, god pages, etc - and a chance to enter the clue's rare table, containing all of the clue's specific rewards (some of which may be on subtables within the rare table).

The vocabulary used here can be confusing, so here are a number of definitions of terms used on this page:

  • Droptable
    A list of things that can be dropped and their associated chances. Can contain another droptable.
  • (Droptable) slot
    One of the things on the droptable. This may be an item or another droptable.
  • Reward spot
    A place on the clue reward interface which can contain an item. A clue generates at least 2 of these per reward. Each tier of clue has a minimum number of reward spots it will create, and then it will add 0-2 extra spots randomly.
    If the same item is generated for multiple spots, they will combine into one stack (commonly occurs with runes), which may make a clue appear to generate less than it should.
  • 1/x
    The value given in the column is the x value in the 1/x. So a value of 15 in the column means the chance is 1/15, or 1-in-15.
  • x SF
    The value in the column has been rounded to x significant figures.
  • Roll
    Generate a random number in order to choose a droptable slot, or other number needing to be generated randomly. Each number is equally likely to occur, giving rolls a uniform distribution.
  • Any text with a dotted underline has hover text with further explanation.

In order to calculate the per-clue chances, one needs to use a binomial distribution, taking the number of trials n to be the average number of reward spots of that clue tier, and p to be the per-spot chance of getting the items, then calculating the probability of receiving greater than zero of the item. In statistics notation:

Most spreadsheet programs can do this natively. One can verify these values using a Wolfram Alpha query, such as this for barrows dye from a hard clue; in Microsoft Excel or Google Sheets, this is performed using =1-BINOMDIST(0,5,3/25600,true) (see documentation: Excel, Sheets).

General mechanism[edit | edit source]

Each clue tier, when completed, first decides how many rewards are given. This is the minimum amount (2 for easy, 3 for medium, 4 for hard and elite), with the result of a 0-2 roll added. Since it is equally likely to be 0, 1, or 2, the average is 1, so the average number of rewards the clue will give is the minimum plus one.

Once the number of rewards are chosen, the rewards are generated. This is usually a series of rolls:

  • The first roll is against the common reward table
    • Most of the slots contain the 'common' rewards of the clue (runes, normal staves, normal gear, materials, etc); none of these are clue-specific rewards
    • One slot leads to the global table, which contains god pages, meerkats, sweets, etc
    • One slot leads to the rare table for that clue
  • If the global or rare table is obtained, another roll is performed
    • Depending on the result of the second roll, a third (or more) roll may be performed to determine precise rewards

Global table[edit | edit source]

The table that all clues can pull rewards from (which includes god pages, meerkat pouches and scrolls, purple sweets, prismatic stars, etc) is positioned in the top level droptable for each clue tier. This means each clue tier has a different chance to access it.

If the clue doesn't generate a reward by the time it reaches its last reward spot, it will give an item from this table.

Biscuits have a cap of 200 - once this cap is met, further biscuit rewards are replaced by purple sweets.

Easy[edit | edit source]

Easy clues generate a minimum of 2 reward spots and a maximum of 4, giving an average of 3 rewards.

Medium[edit | edit source]

Medium clues generate a minimum of 3 reward spots and a maximum of 5, giving an average of 4 rewards.

The chance of getting each medium-clue-specific item is "around 1/250 per clue". In addition, the 5 animal masks share one droptable slot, as do the male/female variants of elegant clothing (2 per slot) and main-/off-hand briefcases. The pith helmet appears multiple times in the table.

If medium clues behave similarly to the others, one can deduce that there's around 70 slots in the rare table (by counting the rewards) and around 15 in the common table (by using '1/250 per clue' and rounding). However, as the mechanics were not expanded upon in the same way as hards and elites, further analysis will not be done.

Hard[edit | edit source]

Hard clue rewards begin with a droptable with 16 slots. One of these enters the hard-clue-specific droptable containing 96 slots; this table is documented below. Of the top level droptable, some of the remaining slots leads to the all clues table, and the remaining 14 are assigned to general reward items (mahogany planks, rune equipment, etc). (Technically the top level table is much larger than 16, but simplifies to very close to 1/16 to access the rare table.)

Hard clues generate a minimum of 4 reward spots and a maximum of 6, giving an average of 5 rewards.

Notes
  • All of the following items occupy one droptable slot on the rare table directly; a third roll is not performed
    • The items grouped together are grouped for comparison only, they are not grouped in the table itself
Rare table
Item Droptable slots
occupied
Per-reward-spot
(1/x)
Per-clue approx.
(1/x)
Per-clue exact
5 SF
Any gold-trimmed rune armour 15 total pieces:
Rune full helm (Guthix).png: RS3 Inventory image of Rune full helm (Guthix) Rune platebody (Guthix).png: RS3 Inventory image of Rune platebody (Guthix) Rune platelegs (Guthix).png: RS3 Inventory image of Rune platelegs (Guthix) Rune plateskirt (Guthix).png: RS3 Inventory image of Rune plateskirt (Guthix) Rune kiteshield (Guthix).png: RS3 Inventory image of Rune kiteshield (Guthix)
Rune full helm (Saradomin).png: RS3 Inventory image of Rune full helm (Saradomin) Rune platebody (Saradomin).png: RS3 Inventory image of Rune platebody (Saradomin) Rune platelegs (Saradomin).png: RS3 Inventory image of Rune platelegs (Saradomin) Rune plateskirt (Saradomin).png: RS3 Inventory image of Rune plateskirt (Saradomin) Rune kiteshield (Saradomin).png: RS3 Inventory image of Rune kiteshield (Saradomin)
Rune full helm (Zamorak).png: RS3 Inventory image of Rune full helm (Zamorak) Rune platebody (Zamorak).png: RS3 Inventory image of Rune platebody (Zamorak) Rune platelegs (Zamorak).png: RS3 Inventory image of Rune platelegs (Zamorak) Rune plateskirt (Zamorak).png: RS3 Inventory image of Rune plateskirt (Zamorak) Rune kiteshield (Zamorak).png: RS3 Inventory image of Rune kiteshield (Zamorak)
15 102.9 21 4.85909%
Any specific part 1 1,544 309 0.32383%
Any trimmed rune armour 10 total pieces:
Rune full helm (t).png: RS3 Inventory image of Rune full helm (t) Rune platebody (t).png: RS3 Inventory image of Rune platebody (t) Rune platelegs (t).png: RS3 Inventory image of Rune platelegs (t) Rune plateskirt (t).png: RS3 Inventory image of Rune plateskirt (t) Rune kiteshield (t).png: RS3 Inventory image of Rune kiteshield (t)
Rune full helm (g).png: RS3 Inventory image of Rune full helm (g) Rune platebody (g).png: RS3 Inventory image of Rune platebody (g) Rune platelegs (g).png: RS3 Inventory image of Rune platelegs (g) Rune plateskirt (g).png: RS3 Inventory image of Rune plateskirt (g) Rune kiteshield (g).png: RS3 Inventory image of Rune kiteshield (g)
10 154.4 31 3.23834%
Any specific part 1 1,544 309 0.32383%
Any heraldic rune armour 25 total pieces:
Rune helm (h1).png: RS3 Inventory image of Rune helm (h1) Rune platebody (h1).png: RS3 Inventory image of Rune platebody (h1) Rune platelegs (h1).png: RS3 Inventory image of Rune platelegs (h1) Rune plateskirt (h1).png: RS3 Inventory image of Rune plateskirt (h1) Rune shield (h1).png: RS3 Inventory image of Rune shield (h1)
Rune helm (h2).png: RS3 Inventory image of Rune helm (h2) Rune platebody (h2).png: RS3 Inventory image of Rune platebody (h2) Rune platelegs (h2).png: RS3 Inventory image of Rune platelegs (h2) Rune plateskirt (h2).png: RS3 Inventory image of Rune plateskirt (h2) Rune shield (h2).png: RS3 Inventory image of Rune shield (h2)
Rune helm (h3).png: RS3 Inventory image of Rune helm (h3) Rune platebody (h3).png: RS3 Inventory image of Rune platebody (h3) Rune platelegs (h3).png: RS3 Inventory image of Rune platelegs (h3) Rune plateskirt (h3).png: RS3 Inventory image of Rune plateskirt (h3) Rune shield (h3).png: RS3 Inventory image of Rune shield (h3)
Rune helm (h4).png: RS3 Inventory image of Rune helm (h4) Rune platebody (h4).png: RS3 Inventory image of Rune platebody (h4) Rune platelegs (h4).png: RS3 Inventory image of Rune platelegs (h4) Rune plateskirt (h4).png: RS3 Inventory image of Rune plateskirt (h4) Rune shield (h4).png: RS3 Inventory image of Rune shield (h4)
Rune helm (h5).png: RS3 Inventory image of Rune helm (h5) Rune platebody (h5).png: RS3 Inventory image of Rune platebody (h5) Rune platelegs (h5).png: RS3 Inventory image of Rune platelegs (h5) Rune plateskirt (h5).png: RS3 Inventory image of Rune plateskirt (h5) Rune shield (h5).png: RS3 Inventory image of Rune shield (h5)
25 61.8 12 8.09061%
Any specific part 1 1,544 309 0.32383%
Any trimmed dragonhide 4 total pieces:
Dragonhide body (t) (blue).png: RS3 Inventory image of Dragonhide body (t) (blue) Dragonhide chaps (t) (blue).png: RS3 Inventory image of Dragonhide chaps (t) (blue) Dragonhide body (g) (blue).png: RS3 Inventory image of Dragonhide body (g) (blue) Dragonhide chaps (g) (blue).png: RS3 Inventory image of Dragonhide chaps (g) (blue)
4 386 77 1.29534%
Any specific part 1 1,544 309 0.32383%
Any enchanted part 3 total pieces:
Enchanted hat.png: RS3 Inventory image of Enchanted hat Enchanted top.png: RS3 Inventory image of Enchanted top Enchanted robe.png: RS3 Inventory image of Enchanted robe
3 514.7 103 0.97144%
Any specific part 1 1,544 309 0.32383%
Any vestment part 12 total pieces:
Guthix stole.png: RS3 Inventory image of Guthix stole Saradomin stole.png: RS3 Inventory image of Saradomin stole Zamorak stole.png: RS3 Inventory image of Zamorak stole
Guthix crozier.png: RS3 Inventory image of Guthix crozier Saradomin crozier.png: RS3 Inventory image of Saradomin crozier Zamorak crozier.png: RS3 Inventory image of Zamorak crozier
Armadyl mitre.png: RS3 Inventory image of Armadyl mitre Bandos mitre.png: RS3 Inventory image of Bandos mitre Ancient mitre.png: RS3 Inventory image of Ancient mitre
Armadyl cloak.png: RS3 Inventory image of Armadyl cloak Bandos cloak.png: RS3 Inventory image of Bandos cloak Ancient cloak.png: RS3 Inventory image of Ancient cloak
12 128.7 26 3.885%
Any specific part 1 1,544 309 0.32383%
Any blessed dragonhide 12 total pieces:
Blessed dragonhide coif (Guthix).png: RS3 Inventory image of Blessed dragonhide coif (Guthix) Blessed dragonhide body (Guthix).png: RS3 Inventory image of Blessed dragonhide body (Guthix) Blessed dragonhide chaps (Guthix).png: RS3 Inventory image of Blessed dragonhide chaps (Guthix) Blessed dragonhide vambraces (Guthix).png: RS3 Inventory image of Blessed dragonhide vambraces (Guthix)
Blessed dragonhide coif (Saradomin).png: RS3 Inventory image of Blessed dragonhide coif (Saradomin) Blessed dragonhide body (Saradomin).png: RS3 Inventory image of Blessed dragonhide body (Saradomin) Blessed dragonhide chaps (Saradomin).png: RS3 Inventory image of Blessed dragonhide chaps (Saradomin) Blessed dragonhide vambraces (Saradomin).png: RS3 Inventory image of Blessed dragonhide vambraces (Saradomin)
Blessed dragonhide coif (Zamorak).png: RS3 Inventory image of Blessed dragonhide coif (Zamorak) Blessed dragonhide body (Zamorak).png: RS3 Inventory image of Blessed dragonhide body (Zamorak) Blessed dragonhide chaps (Zamorak).png: RS3 Inventory image of Blessed dragonhide chaps (Zamorak) Blessed dragonhide vambraces (Zamorak).png: RS3 Inventory image of Blessed dragonhide vambraces (Zamorak)
12 128.7 26 3.885%
Any specific part 1 1,544 309 0.32383%
Any cavalier 3 total pieces:
Tan cavalier.png: RS3 Inventory image of Tan cavalier Dark cavalier.png: RS3 Inventory image of Dark cavalier Black cavalier.png: RS3 Inventory image of Black cavalier
3 514.7 103 0.97144%
Any specific cavalier 1 1,544 309 0.32383%
Pirate's hat.png: RS3 Inventory image of Pirate's hatPirate's hat 1 1,544 309 0.32383%
Robin Hood hat.png: RS3 Inventory image of Robin Hood hatRobin Hood hat 1 1,544 309 0.32383%
Amulet of fury (t).png: RS3 Inventory image of Amulet of fury (t)Amulet of fury (t) 1 1,544 309 0.32383%
Amulet of glory (t).png: RS3 Inventory image of Amulet of glory (t)Amulet of glory (t) 1 1,544 309 0.32383%
Top hat.png: RS3 Inventory image of Top hatTop hat 1 1,544 309 0.32383%
Rune cane.png: RS3 Inventory image of Rune caneRune cane 1 1,544 309 0.32383%

The remaining 6 droptable slots each lead to a different subtable. These are discussed here and then the chances of each item follow in another table.

  1. Animal masks
    The animal mask droptable contains 3 slots, each assigned to an available animal mask (fox, unicorn, black unicorn).
  2. Dragon masks
    The dragon mask droptable contains 3 slots, each assigned to an available dragon mask (green, blue, red).
  3. Sack of effigies
    The sack of effigies droptable has 30 slots; one of these is the sack of effigies, and the remaining 29 lead to another droptable. This table has 120 slots; one is the explosive barrel and the remaining 119 are coins (25,000)
  4. Backstab table
    The backstab droptable has 15 slots; one of these is the backstab cape, and the remaining 14 slots are coins (around 10,000).
  5. Dyes
    The dyes table has 10 slots; one of these is shadow dye, and the remaining 9 lead to another droptable. This table has 5 slots; one is barrows dye and the remaining 4 are coins (around 20,000)
  6. Mega-rare
    The 'mega rare' table contains 11 slots.
    • The parts of the gilded rune set take 1 slot each (5 total)
    • 4 slots are used by each potion set (1 slot each for 15 super energy, 15 super restore, 15 antifire, and 5 super 'sets' [attack, strength, defence])
    • 1 slot is a starved ancient effigy (or 2,500 coins if 5 effigies are already owned)
    • The final slot leads to another table. This final table has 12 slots, each occupied by a part of third age armour (mage, ranger, warrior sets).
  • All of the following items are part of one of the above subtables and are not directly on the rare table; a third (and sometimes fourth) roll is performed to obtain them
Subtables
Item Per-reward-spot
(1/x)
Per-clue approx.
(1/x)
Per-clue exact
5 SF
Any animal mask 3 total:
Fox mask.png: RS3 Inventory image of Fox mask White unicorn mask.png: RS3 Inventory image of White unicorn mask Black unicorn mask.png: RS3 Inventory image of Black unicorn mask
1,544 309 0.32383%
Any specific mask 4,632 926 0.10794%
Any dragon mask 3 total:
Green dragon mask.png: RS3 Inventory image of Green dragon mask Blue dragon mask.png: RS3 Inventory image of Blue dragon mask Red dragon mask.png: RS3 Inventory image of Red dragon mask
1,544 309 0.32383%
Any specific mask 4,632 926 0.10794%
Sack of effigies.png: RS3 Inventory image of Sack of effigiesSack of effigies 46,080 9,216 0.01085%
Coins.png: RS3 Inventory image of CoinsCoins[hard 1] 10,000 from backstab table 1,655 331 0.30211%
20,000 from dyes table 2,133 427 0.23441%
25,000 from explosive barrel table 1,557 311 0.32113%
Explosive barrel.png: RS3 Inventory image of Explosive barrelExplosive barrel 185,309 37,062 0.0027%
Backstab cape.png: RS3 Inventory image of Backstab capeBackstab cape 23,164 4,633 0.02159%
Shadow dye.png: RS3 Inventory image of Shadow dyeShadow dye 15,442 3,088 0.03238%
Barrows dye.png: RS3 Inventory image of Barrows dyeBarrows dye 8,579 1,716 0.05828%
Any gilded rune 5 total parts:
Rune full helm (Gilded).png: RS3 Inventory image of Rune full helm (Gilded) Rune platebody (Gilded).png: RS3 Inventory image of Rune platebody (Gilded) Rune platelegs (Gilded).png: RS3 Inventory image of Rune platelegs (Gilded) Rune plateskirt (Gilded).png: RS3 Inventory image of Rune plateskirt (Gilded) Rune kiteshield (Gilded).png: RS3 Inventory image of Rune kiteshield (Gilded)
3,397 679 0.14719%
Any specific gilded 16,987 3,397 0.02943%
Any potion set 4 total options:
15 super energy (4).png: RS3 Inventory image of super energy (4), 15 super restore (4).png: RS3 Inventory image of super restore (4), 15 antifire (4).png: RS3 Inventory image of antifire (4),
or 5 of each of Super attack (4).png: RS3 Inventory image of Super attack (4)Super strength (4).png: RS3 Inventory image of Super strength (4)Super defence (4).png: RS3 Inventory image of Super defence (4)
4,246 849 0.11776%
Any specific potion set 16,987 3,397 0.02943%
Starved ancient effigy.png: RS3 Inventory image of Starved ancient effigyStarved ancient effigy[hard 2] 16,987 3,397 0.02943%
Any third age part 12 total:
Third age full helmet.png: RS3 Inventory image of Third age full helmet Third age platebody.png: RS3 Inventory image of Third age platebody Third age platelegs.png: RS3 Inventory image of Third age platelegs Third age kiteshield.png: RS3 Inventory image of Third age kiteshield
Third age mage hat.png: RS3 Inventory image of Third age mage hat Third age robe top.png: RS3 Inventory image of Third age robe top Third age robe.png: RS3 Inventory image of Third age robe Third age amulet.png: RS3 Inventory image of Third age amulet
Third age ranger coif.png: RS3 Inventory image of Third age ranger coif Third age ranger body.png: RS3 Inventory image of Third age ranger body Third age ranger chaps.png: RS3 Inventory image of Third age ranger chaps Third age vambraces.png: RS3 Inventory image of Third age vambraces
16,987 3,397 0.02943%
Any specific part 203,840 40,768 0.00245%
Notes
  1. ^ Note that coins also occur elsewhere, in the common table.
  2. ^ Replaced by 2,500 coins if 5 ancient effigies are already owned

Elite[edit | edit source]

Headless arrow detail.png
This section or article is incomplete and could do with improvement.
Reason: Blood dyes
You can discuss this issue on the talk page or edit this page to improve it.

Elite clue rewards begin with a droptable with 14 slots. One of these enters the clue-specific droptable containing 52 slots; this table is documented below. Of the top level droptable, some of the remaining slots leads to the all clues table, and the remaining 12 are assigned to general reward items (mahogany planks, royal dragonhide, etc). (Technically the top level table is much larger than 14, but simplifies to very close to 1/14 to access the rare table.)

Elite clues generate a minimum of 4 reward spots and a maximum of 6, giving an average of 5 rewards.

Notes
  • All of the following items occupy one droptable slot on the rare table directly; a third roll is not performed
    • The items grouped together are grouped for comparison only, they are not grouped in the table itself
Rare table
Item Droptable slots
occupied
Per-reward-spot
(1/x)
Per-clue approx.
(1/x)
Per-clue exact
5 SF
Any god-trimmed rune armour 15 total pieces:
Rune full helm (Armadyl).png: RS3 Inventory image of Rune full helm (Armadyl) Rune platebody (Armadyl).png: RS3 Inventory image of Rune platebody (Armadyl) Rune platelegs (Armadyl).png: RS3 Inventory image of Rune platelegs (Armadyl) Rune plateskirt (Armadyl).png: RS3 Inventory image of Rune plateskirt (Armadyl) Rune kiteshield (Armadyl).png: RS3 Inventory image of Rune kiteshield (Armadyl)
Rune full helm (Bandos).png: RS3 Inventory image of Rune full helm (Bandos) Rune platebody (Bandos).png: RS3 Inventory image of Rune platebody (Bandos) Rune platelegs (Bandos).png: RS3 Inventory image of Rune platelegs (Bandos) Rune plateskirt (Bandos).png: RS3 Inventory image of Rune plateskirt (Bandos) Rune kiteshield (Bandos).png: RS3 Inventory image of Rune kiteshield (Bandos)
Rune full helm (Ancient).png: RS3 Inventory image of Rune full helm (Ancient) Rune platebody (Ancient).png: RS3 Inventory image of Rune platebody (Ancient) Rune platelegs (Ancient).png: RS3 Inventory image of Rune platelegs (Ancient) Rune plateskirt (Ancient).png: RS3 Inventory image of Rune plateskirt (Ancient) Rune kiteshield (Ancient).png: RS3 Inventory image of Rune kiteshield (Ancient)
15 48.5 10 10.30928%
Any specific part 1 756 151 0.66138%
Any dragonhide god armour 12 total pieces:
Blessed dragonhide coif (Armadyl).png: RS3 Inventory image of Blessed dragonhide coif (Armadyl) Blessed dragonhide body (Armadyl).png: RS3 Inventory image of Blessed dragonhide body (Armadyl) Blessed dragonhide chaps (Armadyl).png: RS3 Inventory image of Blessed dragonhide chaps (Armadyl) Blessed dragonhide vambraces (Armadyl).png: RS3 Inventory image of Blessed dragonhide vambraces (Armadyl)
Blessed dragonhide coif (Bandos).png: RS3 Inventory image of Blessed dragonhide coif (Bandos) Blessed dragonhide body (Bandos).png: RS3 Inventory image of Blessed dragonhide body (Bandos) Blessed dragonhide chaps (Bandos).png: RS3 Inventory image of Blessed dragonhide chaps (Bandos) Blessed dragonhide vambraces (Bandos).png: RS3 Inventory image of Blessed dragonhide vambraces (Bandos)
Blessed dragonhide coif (Zaros).png: RS3 Inventory image of Blessed dragonhide coif (Zaros) Blessed dragonhide body (Zaros).png: RS3 Inventory image of Blessed dragonhide body (Zaros) Blessed dragonhide chaps (Zaros).png: RS3 Inventory image of Blessed dragonhide chaps (Zaros) Blessed dragonhide vambraces (Zaros).png: RS3 Inventory image of Blessed dragonhide vambraces (Zaros)
12 63 13 7.93651%
Any specific part 1 756 151 0.66138%
Any vestment part 6 total pieces:
Armadyl stole.png: RS3 Inventory image of Armadyl stole Bandos stole.png: RS3 Inventory image of Bandos stole Ancient stole.png: RS3 Inventory image of Ancient stole
Armadyl crozier.png: RS3 Inventory image of Armadyl crozier Bandos crozier.png: RS3 Inventory image of Bandos crozier Ancient crozier.png: RS3 Inventory image of Ancient crozier
5 126 25 3.96825%
Any specific part 1 756 151 0.66138%
Any animal staff 5 total pieces:
Bat staff.png: RS3 Inventory image of Bat staff cat staff.png: RS3 Inventory image of cat staff dragon staff.png: RS3 Inventory image of dragon staff penguin staff.png: RS3 Inventory image of penguin staff wolf staff.png: RS3 Inventory image of wolf staff
5 151.2 30 3.30688%
Any specific staff 1 756 151 0.66138%
Any dragon armour kit 8 total pieces:
Dragon full helm ornament kit (or).png: RS3 Inventory image of Dragon full helm ornament kit (or) Dragon platebody ornament kit (or).png: RS3 Inventory image of Dragon platebody ornament kit (or) Dragon platelegs/skirt ornament kit (or).png: RS3 Inventory image of Dragon platelegs/skirt ornament kit (or) Dragon sq shield ornament kit (or).png: RS3 Inventory image of Dragon sq shield ornament kit (or)
Dragon full helm ornament kit (sp).png: RS3 Inventory image of Dragon full helm ornament kit (sp) Dragon platebody ornament kit (sp).png: RS3 Inventory image of Dragon platebody ornament kit (sp) Dragon platelegs/skirt ornament kit (sp).png: RS3 Inventory image of Dragon platelegs/skirt ornament kit (sp) Dragon sq shield ornament kit (sp).png: RS3 Inventory image of Dragon sq shield ornament kit (sp)
8 94.5 19 5.29101%
Any specific kit 1 756 151 0.66138%
Fury ornament kit.png: RS3 Inventory image of Fury ornament kitFury ornament kit 1 756 151 0.66138%

The remaining 5 droptable slots each lead to a subtable. These are discussed here and then the chances of each item follow in another table.

  1. Dragon masks
    The dragon mask droptable contains 6 slots, each assigned to an available dragon mask (black, frost, bronze, iron, steel, mithril).
  2. Effigy
    The effigy droptable has 5 slots; one of these is an effigy, and the remaining 4 slots are coins (around 20,000).
  3. Prismatic star
    The star droptable has 20 slots; one of these is a prismatic star, and the remaining 19 slots are coins (around 20,000).
  4. Hard dyes
    The 'hard dyes' table (so named as it contains the two dyes also available in hard clues) has 22 slots; one of these is shadow dye, and the remaining 21 lead to another droptable. This table has 11 slots; one is barrows dye and the remaining 10 are coins (around 10,000)
  5. Third age dye
    The third age dye table has 70 slots; one is third age dye, and the remaining 69 lead to another droptable. This table has 40 slots; 1 is the sack of effigies, and the remaining 39 lead to yet another droptable. This final table has 20 slots; one is the backstab cape and the remaining 19 is a triskelion piece.
  6. Mega-rare
    The 'mega rare' table contains 51 slots.
    • One of these slots leads to a second table containing the 5 slots, each assigned to one of the 5 parts third age druidic
    • The remaining 50 slots also lead to another table; this one contains 3 slots, each assigned to one of the 3 god bows
  • All of the following items are part of one of the above subtables and are not directly on the rare table; a third (and sometimes fourth) roll is performed to obtain them
Subtables
Item Per-reward-spot
(1/x)
Per-clue approx.
(1/x)
Per-clue exact
5 SF
Any dragon mask 6 total:
Black dragon mask.png: RS3 Inventory image of Black dragon mask Frost dragon mask.png: RS3 Inventory image of Frost dragon mask Bronze dragon mask.png: RS3 Inventory image of Bronze dragon mask
Iron dragon mask.png: RS3 Inventory image of Iron dragon mask Steel dragon mask.png: RS3 Inventory image of Steel dragon mask Mithril dragon mask.png: RS3 Inventory image of Mithril dragon mask
756 151 0.66138%
Any specific mask 4,536 907 0.11023%
Coins.png: RS3 Inventory image of CoinsCoins[elite 1] 20,000 from effigy table 910 182 0.54945%
20,000 from star table 766 153 0.65274%
100,000 from missing a blood dye 839 168 0.59595%
Starved ancient effigy.png: RS3 Inventory image of Starved ancient effigyStarved ancient effigy[elite 2] 756 151 0.66138%
Shadow dye.png: RS3 Inventory image of Shadow dyeShadow dye 16,632 3,326 0.03006%
Barrows dye.png: RS3 Inventory image of Barrows dyeBarrows dye 9,293 1,859 0.0538%
Third Age dye.png: RS3 Inventory image of Third Age dyeThird Age dye 52,920 10,584 0.00945%
Ice dye.png: RS3 Inventory image of Ice dyeIce dye 12,672 2,534 0.03946%
Blood dye.png: RS3 Inventory image of Blood dyeBlood dye 52,920 10,584 0.00945%
Re-roll token (elite).png: RS3 Inventory image of Re-roll token (elite)Re-roll token (elite) 929 186 0.53821%
Dragon cane.png: RS3 Inventory image of Dragon caneDragon cane 1,534 307 0.32595%
Sack of effigies.png: RS3 Inventory image of Sack of effigiesSack of effigies 29,542 5,908 0.01693%
Backstab cape.png: RS3 Inventory image of Backstab capeBackstab cape 15,732 3,146 0.03178%
Crystal triskelion fragment 1.png: RS3 Inventory image of Crystal triskelion fragment 1Crystal triskelion fragment 2.png: RS3 Inventory image of Crystal triskelion fragment 2Crystal triskelion fragment 3.png: RS3 Inventory image of Crystal triskelion fragment 3 Crystal triskelion fragment[elite 3] 828 166 0.60386%
Any god bow 3 total:
Guthix bow.png: RS3 Inventory image of Guthix bow Saradomin bow.png: RS3 Inventory image of Saradomin bow Zamorak bow.png: RS3 Inventory image of Zamorak bow
771 154 0.64851%
Any specific bow 2,314 463 0.21608%
Any third age druidic part 5 total:
Third age druidic wreath.png: RS3 Inventory image of Third age druidic wreath Third age druidic robe top.png: RS3 Inventory image of Third age druidic robe top Third age druidic robe bottom.png: RS3 Inventory image of Third age druidic robe bottom Third age druidic cloak.png: RS3 Inventory image of Third age druidic cloak Third age druidic staff.png: RS3 Inventory image of Third age druidic staff
38,314 7,663 0.01305%
Any specific part 191,570 38,314 0.00261%
Notes
  1. ^ Note that coins also occur elsewhere, in the common table.
  2. ^ Replaced by 2,500 coins if 5 ancient effigies are already owned
  3. ^ Whichever part is not owned, in order.

Master[edit | edit source]

Obtaining[edit | edit source]

  • Most sources of elite clues have a 1% chance of upgrading to a master clue instead, including monster drops, Treasure chest decoration, etc.
  • After completing Pieces of Hate, the Skeletal horror has a 1/12 (8.33%) chance to drop a master clue instead of an elite clue.
  • When opening clue reward caskets, the following chances apply to get a master clue:
    • Elite: 1/5 (20%)
    • Hard: 1/15 (6.66%)
    • Medium: 1/30 (3.33%)
    • Easy: 1/50 (2%)

Initial rolls[edit | edit source]

Master clues always have 6 rolls.

Each roll begins with a 100/1400 chance of accessing the rare table, and will access the common table otherwise. If the rare table is missed, the numerator is increased by 25 up to a maximum of 175/1400. If tier 4 luck is equipped, the denominator is reduced by 1% to 1386. If the roll is sucessful, the numerator reverts to 100.[source needed]

The chances are summarised below:

Missed rolls Next roll chance Next roll chance (T4 luck)
Fraction Percent Fraction Percent
0 100/1400 7.14% 100/1386 7.22%
1 125/1400 8.93% 125/1386 9.02%
2 150/1400 10.71% 150/1386 10.82%
3 175/1400 12.5% 175/1386 12.62%

Weighted average chance[edit | edit source]

The overall chance of a rare from a specific slot can be calculated by accounting for the scaling chance. It was later confirmed that this increased rare chance does carry over from one clue to the next. For the sake of some simplicity in the calculation, the original chance of 1/14 is used. Tier 4 luck only adds a 1400/1386 modifier.

Because the increased chance carries over, we have a continuous loop through a system with 4 states.
State 0: your first ever roll, or your roll after a rare roll. Chance of a rare is 4/56 (or 1/14).
State 1: Bad luck mitigation (BLM) step 1. Chance of a rare is 5/56 (or 1.25/14).
State 2: BLM step 2. Chance of a rare is 6/56 (or 1.5/14).
State 3: Maximum BLM. Chance of a rare is 7/56 (or 1.75/14).

These states feed into each other. For example: from state 0 you can return to state 0 by rolling a rare, with a chance of 1/14, or you can reach state 1, with a chance of 13/14. You cannot skip steps, so reaching state 2 and state 3 from state 0 is impossible. This corresponds to the matrix:

Because it is a continuous system we can use the fact that in a long distribution We then solve for the steady state vector . We first rewrite the equation, and factor out , which leads to the equation:

In matrix multiplication an identity matrix I is the equivalent of 1. So we substitute that in, and we then rewrite the whole equation to:

We can then solve for the variables , , , and , which give us the input to get a weighted average for the chance to roll a rare, given the chance of having different BLM numerators.

This weighted average is .

The number of master clues with at least one rare is then simply found by calculating the chance of getting nothing in 6 slots, then subtracting that from one. Thus the chance of a master clue having at least one rare is 51.62%, or 52.14% with tier 4 luck.

Rewards[edit | edit source]

If the rare table is successfully rolled, you then roll between 1 and 42 to determine which reward is obtained. Each of the following occupies one slot of this table, giving them a 1/42 (2.38%) chance to be chosen.

The following continue with a 1/42 chance to be chosen, but then do additional rolls to determine specific rewards

Simplified[edit | edit source]

While the reward tables above describe the full behaviour, it is usually easier to have a simplified 'flattened' table,as the full behaviour can be represented as just a simple chance.

  • From rare table simply multiplies out the above table to be a 'flat' table
  • After rare roll uses a 100 numerator
  • Overall per clue uses the chances calculated in the #Weighted average chance section above
  • Percentages are rounded to 4 significant figures to a minimum of 4 decimal places
Item(s) Chance from rare table Chance after rare roll Overall chance per clue
Normal T4 luck Normal T4 luck
Percent Fraction Percent Fraction Percent Fraction Percent Fraction Percent Fraction

Simple items (each)
Flaming sword enchantment.png: RS3 Inventory image of Flaming sword enchantmentHobby unicorn (white).png: RS3 Inventory image of Hobby unicorn (white)Hobby unicorn (black).png: RS3 Inventory image of Hobby unicorn (black)Pyjama top.png: RS3 Inventory image of Pyjama topPyjama bottoms.png: RS3 Inventory image of Pyjama bottomsPyjama slippers.png: RS3 Inventory image of Pyjama slippers
Heavy chest.png: RS3 Inventory image of Heavy chestBag of clues.png: RS3 Inventory image of Bag of cluesRing of coins.png: RS3 Inventory image of Ring of coinsRing of trees.png: RS3 Inventory image of Ring of treesGilded boater.png: RS3 Inventory image of Gilded boaterGilded cavalier.png: RS3 Inventory image of Gilded cavalier
Adamant dragon mask.png: RS3 Inventory image of Adamant dragon maskRune dragon mask.png: RS3 Inventory image of Rune dragon maskDragonstone dragon mask.png: RS3 Inventory image of Dragonstone dragon maskOnyx dragon mask.png: RS3 Inventory image of Onyx dragon maskHydrix dragon mask.png: RS3 Inventory image of Hydrix dragon maskSamurai kasa.png: RS3 Inventory image of Samurai kasa
Tuxedo jacket.png: RS3 Inventory image of Tuxedo jacketTuxedo trousers.png: RS3 Inventory image of Tuxedo trousersTuxedo shoes.png: RS3 Inventory image of Tuxedo shoesTuxedo gloves.png: RS3 Inventory image of Tuxedo glovesTuxedo cravat.png: RS3 Inventory image of Tuxedo cravat
Evening bolero.png: RS3 Inventory image of Evening boleroEvening dipped skirt.png: RS3 Inventory image of Evening dipped skirtEvening shoes.png: RS3 Inventory image of Evening shoesEvening gloves.png: RS3 Inventory image of Evening glovesEvening masquerade mask.png: RS3 Inventory image of Evening masquerade mask
Reaper ornament kit.png: RS3 Inventory image of Reaper ornament kitSoul ornament kit.png: RS3 Inventory image of Soul ornament kitHeated tea flask.png: RS3 Inventory image of Heated tea flaskPack yak mask.png: RS3 Inventory image of Pack yak mask

2.3810% 1/42 0.1701% 1/588 0.1718% ≈1/582 1.6283% ≈1/61.42 1.6447% ≈1/60.80
Upgrade items (each)
Golden thread.png: RS3 Inventory image of Golden threadElemental impetus.png: RS3 Inventory image of Elemental impetus
1.1905% 1/84 0.08503% 1/1176 0.08589% ≈1/1164 0.8141% ≈1/122.8 0.8223% ≈1/121.6

Glasses (each)
Round glasses (black).png: RS3 Inventory image of Round glasses (black)Round glasses (green).png: RS3 Inventory image of Round glasses (green)Round glasses (blue).png: RS3 Inventory image of Round glasses (blue)
Stylish glasses (black).png: RS3 Inventory image of Stylish glasses (black)Stylish glasses (green).png: RS3 Inventory image of Stylish glasses (green)Stylish glasses (blue).png: RS3 Inventory image of Stylish glasses (blue)
Half-moon spectacles (black).png: RS3 Inventory image of Half-moon spectacles (black)Half-moon spectacles (green).png: RS3 Inventory image of Half-moon spectacles (green)Half-moon spectacles (blue).png: RS3 Inventory image of Half-moon spectacles (blue)

0.7937% 1/126 0.05669% 1/1764 0.05726% ≈1/1746 0.5428% ≈1/184.2 0.5482% ≈1/182.4
Elemental battlestaff.png: RS3 Inventory image of Elemental battlestaffElemental battlestaff 2.3677% ≈1/42.23 0.1691% ≈1/591.3 0.1708% ≈1/585.4 1.6192% ≈1/61.8 1.6356% ≈1/60.8
Orlando Smith's hat.png: RS3 Inventory image of Orlando Smith's hatOrlando Smith's hat 0.01323% 1/7560 0.0009448% 1/105,840 0.0009544% ≈1/104,781 0.009046% ≈1/11,055 0.009137% ≈1/10,944
Shadow dye.png: RS3 Inventory image of Shadow dyeShadow dye 0.08503% 1/1176 0.006074% 1/16,464 0.006135% ≈1/16,299 0.05815% ≈1/1720 0.05874% ≈1/1702
Ice dye.png: RS3 Inventory image of Ice dyeIce dye 0.1208% ≈1/827.5 0.008631% ≈1/11,586 0.008718% ≈1/11,470 0.08264% ≈1/1210 0.08347% ≈1/1198
Barrows dye.png: RS3 Inventory image of Barrows dyeBarrows dye 0.1554% ≈1/643.7 0.01110% ≈1/9011 0.01121% ≈1/8921 0.1062% ≈1/941 0.1073% ≈1/932
Third Age dye.png: RS3 Inventory image of Third Age dyeThird Age dye 0.02801% 1/3570 0.002001% 1/49,980 0.002021% ≈1/49480 0.01916% ≈1/5220 0.01935% ≈1/5168
Sack of effigies.png: RS3 Inventory image of Sack of effigiesSack of effigies 0.03922% 1/2550 0.002801% ≈1/35,700 0.002829% ≈1/35,343 0.02682% ≈1/3729 0.02709% ≈1/3692
Backstab cape.png: RS3 Inventory image of Backstab capeBackstab cape 0.07712 ≈1/1297 0.005509% ≈1/18,153 0.005565% ≈1/17,971 0.05274% ≈1/1896 0.05328% ≈1/1877
Blood dye.png: RS3 Inventory image of Blood dyeBlood dye 0.02646% 1/3780 0.001890% 1/52920 0.001909% ≈1/52391 0.01809% ≈1/5527 0.01827% ≈1/5472
Ancient effigy.png: RS3 Inventory image of Ancient effigyAncient effigy 0.4762% 1/210 0.03401% 1/2940 0.03436% ≈1/2911 0.3257% ≈1/307.1 0.3289% ≈1/304

Second-Age armour (each)
Second-Age full helm.png: RS3 Inventory image of Second-Age full helmSecond-Age platebody.png: RS3 Inventory image of Second-Age platebodySecond-Age platelegs.png: RS3 Inventory image of Second-Age platelegs
Second-Age mage mask.png: RS3 Inventory image of Second-Age mage maskSecond-Age robe top.png: RS3 Inventory image of Second-Age robe topSecond-Age robe bottom.png: RS3 Inventory image of Second-Age robe bottom
Second-Age range coif.png: RS3 Inventory image of Second-Age range coifSecond-Age range top.png: RS3 Inventory image of Second-Age range topSecond-Age range legs.png: RS3 Inventory image of Second-Age range legs

0.002646% 1/37,800 0.0001890% 1/529,200 0.0001909% 1/523,908 0.001809% ≈1/55,274 0.001827% ≈1/54,721

Second-Age weapons (each)
Second-Age sword.png: RS3 Inventory image of Second-Age swordSecond-Age staff.png: RS3 Inventory image of Second-Age staffSecond-Age bow.png: RS3 Inventory image of Second-Age bow

0.007937% 1/12,600 0.0005669% 1/176,400 0.0005726% 1/174,636 0.005428% ≈1/18,425 0.005482% ≈1/18,240
Re-roll token (master).png: RS3 Inventory image of Re-roll token (master)Re-roll token (master) (failed dyes) 2.0197% ≈1/49.5 0.1443% ≈1/693.2 0.1457% ≈1/686.2 1.3812% ≈1/72.4 1.3952% ≈1/71.7
Re-roll token (master).png: RS3 Inventory image of Re-roll token (master)Re-roll token (master) (failed Second Age) 1.5167% ≈1/65.93 0.1083% ≈1/923.1 0.1094% ≈1/913.8 1.0372% ≈1/96.4 1.0477% ≈1/95.5
Re-roll token (master).png: RS3 Inventory image of Re-roll token (master)Re-roll token (master) (overall) 3.5353% ≈1/28.3 0.2526% ≈1/395.9 0.2552% ≈1/391.9 2.4184% ≈1/41.3 2.4428% ≈1/40.9
200,000 (failed blood dye) 2.3545% ≈1/42.47 0.1682% ≈1/594.6 0.1699% ≈1/588.7 1.6102% ≈1/62.1 1.6264% ≈1/61.5
500,000 (failed Second Age) 0.8167% ≈1/122.4 0.05833% ≈1/1714 0.05892% ≈1/1697 0.5585% ≈1/179.1 0.5641% ≈1/177.3
Coins.png: RS3 Inventory image of CoinsCoins (overall) 3.1712% ≈1/31.53 0.2265% ≈1/441.5 0.2288% ≈1/437.1 2.1687% ≈1/46.11 2.31906% ≈1/45.65
Crystal triskelion fragment 1.png: RS3 Inventory image of Crystal triskelion fragment 1Crystal triskelion fragment 2.png: RS3 Inventory image of Crystal triskelion fragment 2Crystal triskelion fragment 3.png: RS3 Inventory image of Crystal triskelion fragment 3 Triskelion fragment (failed capes) 2.2366% ≈1/44.71 0.1598% ≈1/625.9 0.1614% ≈1/619.7 1.5295% ≈1/65.38 1.5450% ≈1/64.73
Crystal triskelion fragment 1.png: RS3 Inventory image of Crystal triskelion fragment 1Crystal triskelion fragment 2.png: RS3 Inventory image of Crystal triskelion fragment 2Crystal triskelion fragment 3.png: RS3 Inventory image of Crystal triskelion fragment 3 Triskelion fragment (failed effigy) 1.9048% 1/52.5 0.1361% 1/735 0.1374% ≈1/727.7 1.3026% ≈1/76.77 1.3158% ≈1/76
Crystal triskelion fragment 1.png: RS3 Inventory image of Crystal triskelion fragment 1Crystal triskelion fragment 2.png: RS3 Inventory image of Crystal triskelion fragment 2Crystal triskelion fragment 3.png: RS3 Inventory image of Crystal triskelion fragment 3 Triskelion fragment (overall) 4.1414% ≈1/24.15 0.2958% ≈1/338.1 0.2988% ≈1/334.7 2.8321% ≈1/35.31 2.8607% ≈1/34.96

References[edit | edit source]

All data sourced from the following (now-expired Twitch VODs):

Highlight videos of the above streams are available on YouTube, however they don't contain all the content of the streams:

Master clues[edit | edit source]

Master clues rates were released later, via the RuneScape website.

Update history[edit | edit source]

The update history project is a work-in-progress – not all updates to this topic may be covered below. See here for how to help out!
  • patch 26 February 2018 (Update):.
    • Several existing Treasure Trail rewards such as hats, masks and shirts have been made available in F2P.
    • Tweaks have been made to existing Treasure Trail drop tables, such as removing low-value seeds elite and improving coin values when failing to roll on certain rare rewards.