This appendix breaks down the probabilities of all the mechanics used by Timeless Threats.
Diceless
Used by: Antigod, Deity, Devourer, Handler,
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Gods and antigods do not play dice with the universe. All their abilities manipulate narratives, not probabilities. Their minions and incarnations operate under the rules of the Host System in the Worlds where they operate.
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Devourers do not roll dice, but they provoke dice-rolling in other characters.
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Handlers operate entirely under the rules of the Host System.
D6 Roll High
Used by: Aberration
Aberrations make all die rolls on a single six-sided die. If the difficulty is 6 or more, the Aberration must roll the twice and get sixes both times to hit. If the difficulty is 0 or less, the Aberration must roll the die twice and get ones both times to miss.
Difficulty | ≤ 0 | 1 | 2 | 3 | 4 | 5 | ≥ 6 |
---|---|---|---|---|---|---|---|
Target Number | 2+, 2+ | 2+ | 3+ | 4+ | 5+ | 6 | 6, 6 |
Probability | 97.22% | 83.33% | 66.67% | 50.00% | 33.33% | 16.67% | 2.78% |
Closest D20 DC | 2 | 4 | 8 | 11 | 14 | 17 | 20 |
D12 Roll High
Used by: Phantom
Phantoms fade based on a d12 roll over the current value of their countdown clock. Below are their probabilities of them not fading.
Clock | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
---|---|---|---|---|---|---|---|---|---|---|---|
Target Number | 2+ | 3+ | 4+ | 5+ | 6+ | 7+ | 8+ | 9+ | 10+ | 11+ | 12 |
Probability | 91.67% | 83.33% | 75.00% | 66.67% | 58.33% | 50.00% | 41.67% | 33.33% | 25.00% | 16.67% | 8.33% |
Depletion Dice
Used by: Time Gem
Time Gems have cascading “depletion dice”. Every activation the user rolls a d100; if they roll a 1 the next roll is on a d20, and so on through d12, d10, d8, d6, and d4. If they roll a 1 on a d4, the Gem is depleted; it stops working entirely.
In the best case, a Gem will operate indefinitely; in the worst case it will operate 7 times. The average case is somewhere between 160 and 80 times.
Percentile Dice
Used By: Relic Wielder, Time Gem User (Time Guardian, Time Thief, …).
Users of Relics and Time Gem have a percentile “Control” score which determines whether they can make their Relic or Gem do what they want. If the user rolls at or below the percentile, the Relic or Gem works; if they roll above, a Relic fights back and a Gem doesn’t activate. Special results happen on a Critical Success and a Fumble, which happen when the percentile dice show double digits in the Success and Falure range, respectively.
Below are the chances of a Critical Success or Fumble based on the percentile score.
Percentile | Critical Success | Fumble |
---|---|---|
01-10 | 0% | 10% |
11-21 | 1% | 9% |
22-32 | 2% | 8% |
33-43 | 3% | 7% |
44-54 | 4% | 6% |
55-65 | 5% | 5% |
66-76 | 6% | 4% |
77-87 | 7% | 3% |
88-98 | 8% | 2% |
99 | 9% | 1% |
00 | 10% | 0% |
Success Pool
Used By: Discarnator, Occultist, Revisionist.
Discarnators, Occultists, and Revisionists roll a pool of d6s or d10s to determine how many Banes they impose on a Timeless. Occultists use the same mechanic for researching the supernatural and performing ritual magic.
Below are probabilities for each number of Banes or successes as a function of the number of dice.
D6, Success on 5-6
TN | 1D | 2D | 3D | 4D | 5D | 6D | 7D | 8D | 9D | 10D | 11D | 12D |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 33.3333 | 55.5556 | 70.3704 | 80.2469 | 86.8313 | 91.2209 | 94.1472 | 96.0982 | 97.3988 | 98.2658 | 98.8439 | 99.2293 |
2 | 11.1111 | 25.9259 | 40.7407 | 53.9095 | 64.8834 | 73.6626 | 80.4908 | 85.6932 | 89.5951 | 92.4853 | 94.6049 | |
3 | 3.7037 | 11.1111 | 20.9877 | 31.9616 | 42.9355 | 53.1779 | 62.2822 | 70.0859 | 76.5889 | 81.8877 | ||
4 | 1.2346 | 4.5267 | 10.0137 | 17.3297 | 25.8650 | 34.9693 | 44.0736 | 52.7443 | 60.6925 | |||
5 | 0.4115 | 1.7833 | 4.5267 | 8.7944 | 14.4846 | 21.3128 | 28.8997 | 36.8479 | ||||
6 | 0.1372 | 0.6859 | 1.9662 | 4.2422 | 7.6564 | 12.2085 | 17.7722 | |||||
7 | 0.0457 | 0.2591 | 0.8281 | 1.9662 | 3.8629 | 6.6448 | ||||||
8 | 0.0152 | 0.0965 | 0.3404 | 0.8823 | 1.8758 | |||||||
9 | 0.0051 | 0.0356 | 0.1372 | 0.3856 | ||||||||
10 | 0.0017 | 0.0130 | 0.0544 | |||||||||
11 | 0.0006 | 0.0047 | ||||||||||
12 | 0.0002 |
D10, Success on 8-10
TN | 1D | 2D | 3D | 4D | 5D | 6D | 7D | 8D | 9D | 10D | 11D | 12D |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 30.0000 | 51.0000 | 65.7000 | 75.9900 | 83.1930 | 88.2351 | 91.7646 | 94.2352 | 95.9646 | 97.1752 | 98.0227 | 98.6159 |
2 | 9.0000 | 21.6000 | 34.8300 | 47.1780 | 57.9825 | 67.0583 | 74.4702 | 80.3997 | 85.0692 | 88.7010 | 91.4975 | |
3 | 2.7000 | 8.3700 | 16.3080 | 25.5690 | 35.2930 | 44.8226 | 53.7169 | 61.7217 | 68.7260 | 74.7185 | ||
4 | 0.8100 | 3.0780 | 7.0470 | 12.6036 | 19.4104 | 27.0341 | 35.0389 | 43.0438 | 50.7484 | |||
5 | 0.2430 | 1.0935 | 2.8795 | 5.7968 | 9.8809 | 15.0268 | 21.0305 | 27.6345 | ||||
6 | 0.0729 | 0.3791 | 1.1292 | 2.5295 | 4.7349 | 7.8225 | 11.7849 | |||||
7 | 0.0219 | 0.1290 | 0.4291 | 1.0592 | 2.1619 | 3.8601 | ||||||
8 | 0.0066 | 0.0433 | 0.1590 | 0.4291 | 0.9489 | |||||||
9 | 0.0020 | 0.0144 | 0.0578 | 0.1692 | ||||||||
10 | 0.0006 | 0.0047 | 0.0206 | |||||||||
11 | 0.0002 | 0.0015 | ||||||||||
12 | 0.0001 |