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[]
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[]
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[]
Easy clues generate a minimum of 2 reward spots and a maximum of 4, giving an average of 3 rewards.
Medium[]
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[]
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
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:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 102 | 21 | 4.78837% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any trimmed rune armour | 10 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 154 | 31 | 3.2131% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any heraldic rune armour | 25 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
25 | 61 | 13 | 7.8774% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any trimmed dragonhide | 4 total pieces:![]() ![]() ![]() ![]() |
4 | 384 | 77 | 1.2953% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any enchanted part | 3 total pieces:![]() ![]() ![]() |
3 | 512 | 103 | 0.97276% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any vestment part | 12 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 128 | 26 | 3.846% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any blessed dragonhide | 12 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 128 | 26 | 3.846% |
Any specific part | 1 | 1,536 | 308 | 0.32510% | |
Any cavalier | 3 total pieces:![]() ![]() ![]() |
3 | 512 | 103 | 0.97276% |
Any specific cavalier | 1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% | |
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1 | 1,536 | 308 | 0.32510% |
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.
- Animal masks
The animal mask droptable contains 3 slots, each assigned to an available animal mask (fox, unicorn, black unicorn). - Dragon masks
The dragon mask droptable contains 3 slots, each assigned to an available dragon mask (green, blue, red). - 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 (2,500) - Backstab table
The backstab droptable has 15 slots; one of these is the backstab cape, and the remaining 14 slots are coins (around 5,000). - 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 10,000) - 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
Item | Per-reward-spot (1/x) |
Per-clue approx. (1/x) |
Per-clue exact 5 SF | |
---|---|---|---|---|
Any animal mask | 3 total:![]() ![]() ![]() |
1,536 | 308 | 0.32510% |
Any specific mask | 4,608 | 922 | 0.10846% | |
Any dragon mask | 3 total:![]() ![]() ![]() |
1,536 | 308 | 0.32510% |
Any specific mask | 4,608 | 922 | 0.10846% | |
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46,080 | 9,216 | 0.010850% | |
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5,000 from backstab table | 1,646 | 330 | 0.30345% |
10,000 from dyes table | 2,133 | 427 | 0.23416% | |
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23,040 | 4,608 | 0.021700% | |
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15,360 | 3,072 | 0.032548% | |
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8,533 | 1,707 | 0.058580% | |
Any gilded rune | 5 total parts:![]() ![]() ![]() ![]() ![]() |
3,379 | 676 | 0.14788% |
Any specific gilded | 16,896 | 3,380 | 0.029589% | |
Any potion set | 4 total options: 15 ![]() ![]() ![]() or 5 of each of ![]() ![]() ![]() |
4,224 | 845 | 0.11832% |
Any specific potion set | 16,896 | 3,380 | 0.029589% | |
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16,896 | 3,380 | 0.029589% | |
Any third-age part | 12 total:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16,896 | 3,380 | 0.029589% |
Any specific part | 202,752 | 40,551 | 0.0024660% |
- Notes
Elite[]
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
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:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 48.5 | 10 | 9.8863% |
Any specific part | 1 | 728 | 146 | 0.68493% | |
Any dragonhide god armour | 12 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 61 | 12.5 | 7.9745% |
Any specific part | 1 | 728 | 146 | 0.68493% | |
Any vestment part | 6 total pieces:![]() ![]() ![]() ![]() ![]() ![]() |
6 | 121 | 25 | 4.0535% |
Any specific part | 1 | 728 | 146 | 0.68493% | |
Any animal staff | 5 total pieces:![]() ![]() ![]() ![]() ![]() |
5 | 146 | 30 | 3.3872% |
Any specific staff | 1 | 728 | 146 | 0.68493% | |
Any dragon armour kit | 8 total pieces:![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | 91 | 19 | 5.3751% |
Any specific kit | 1 | 728 | 146 | 0.68493% | |
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1 | 728 | 146 | 0.68493% |
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.
- Dragon masks
The dragon mask droptable contains 6 slots, each assigned to an available dragon mask (black, frost, bronze, iron, steel, mithril). - Effigy
The effigy droptable has 5 slots; one of these is an effigy, and the remaining 4 slots are coins (around 20,000). - 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). - 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) - 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. - 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
Item | Per-reward-spot (1/x) |
Per-clue approx. (1/x) |
Per-clue exact 5 SF | |
---|---|---|---|---|
Any dragon mask | 6 total:![]() ![]() ![]() ![]() ![]() ![]() |
728 | 146 | 0.68493% |
Any specific mask | 4,368 | 874 | 0.11442% | |
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20,000 from effigy table | 910 | 182 | 0.54824% |
20,000 from star table | 766 | 154 | 0.65077% | |
10,000 from hard dyes table | 839 | 182 | 0.54824% | |
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3,640 | 728 | 0.13729% | |
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14,360 | 2,912 | 0.034336% | |
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16,016 | 3,204 | 0.031215% | |
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8,389 | 1,678 | 0.059585% | |
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50,960 | 10,192 | 0.0098112% | |
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29,542 | 5,909 | 0.016924% | |
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15,150 | 3,030 | 0.032999% | |
![]() ![]() ![]() |
797 | 160 | 0.62550% | |
Any god bow | 3 total:![]() ![]() ![]() |
743 | 149 | 0.67154% |
Any specific bow | 2228 | 446 | 0.22425% | |
Any third-age druidic part | 5 total:![]() ![]() ![]() ![]() ![]() |
37,128 | 7,426 | 0.013466% |
Any specific part | 185,640 | 37,128 | 0.0026934% |
- Notes
Master[]
References[]
All data sourced from the following (now-expired Twitch VODs):
- Easy: RuneScape Twitch channel. 10,000 Easy Clue Casket Rewards with Mods James and Wolf. 28 April 2015.*
- Medium: RuneScape Twitch channel. 10,000 Medium Clue Caskets: Mods Simon + James Battle It Out!. 5 May 2015.*
- Hard: RuneScape Twitch channel. RuneScape 3 - 10,000 Hard Clue Casket Rewards with Mods Simon and James!. 12 May 2015.*
- Elite: RuneScape Twitch channel. [RS3] 10,000 Elite Clue Casket Rewards with Mods Simon and James!. 19 May 2015.*
Highlight videos of the above streams are available on YouTube, however they don't contain all the content of the streams:
- Easy and medium: RuneScape YouTube channel. 10,000 Easy + Medium Clue Loots - RuneScape Stream Highlight. 6 May 2015.*
- Hard: RuneScape YouTube channel. 10,000 Hard Clue Loots - RuneScape Stream Highlight. 13 May 2015.*
- Elite: RuneScape YouTube channel. 10,000 Elite Clue Loots - RuneScape Stream Highlight. 20 May 2015.*
Treasure Trails equipment rewards | |||||||||||||||||||||
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Headwear |
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Globetrotter outfit |
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Tuxedo outfit |
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Evening outfit |
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Pyjamas |
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Checkered shirts |
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Bob shirts |
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Trimmed amulets |
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Capes |
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Emote enhancers |
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Rings |
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Weapons |
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Miscellaneous Treasure Trails rewards | |||||||
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Dragon ornament kits |
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Teleport scrolls |
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Food |
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Dyes |
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Item upgrades |
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Gnomish firelighters |
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Skipping tickets |
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Re-roll tokens |
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Titles |
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Miscellaneous |
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