Dice
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| − | !| Name !! Requirement !! 1D6 !! 2D6 !! 3D6 !! 4D6 !! 5D6 !! 6D6 !! 7D6 !! 8D6 !! 9D6 !! 10D6 !! 11D6 !! 12D6 !! 13D6 !! 14D6 !! 15D6 |
+ | !| Requirement !! 1D6 !! 2D6 !! 3D6 !! 4D6 !! 5D6 !! 6D6 !! 7D6 !! 8D6 !! 9D6 !! 10D6 !! 11D6 !! 12D6 !! 13D6 !! 14D6 !! 15D6 |
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| A OR B OR C || 1/2 || 3/4 || 7/8 || 15/16 || 31/32 || 63/64 || 127/128 || 255/256 || 511/512 || 1023/1024 || 2047/2048 || 4095/4096 || 8191/8192 || 16383/16384 || 32767/32768 |
| A OR B OR C || 1/2 || 3/4 || 7/8 || 15/16 || 31/32 || 63/64 || 127/128 || 255/256 || 511/512 || 1023/1024 || 2047/2048 || 4095/4096 || 8191/8192 || 16383/16384 || 32767/32768 |
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Revision as of 19:33, 17 December 2019
Dice are an essential part of many games.
This is an exploration of probabilities of D6.
The faces are generalised to A,B,C,D,E,F and order is not important
| Requirement | 1D6 | 2D6 | 3D6 | 4D6 | 5D6 | 6D6 | 7D6 | 8D6 | 9D6 | 10D6 | 11D6 | 12D6 | 13D6 | 14D6 | 15D6 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A OR B OR C | 1/2 | 3/4 | 7/8 | 15/16 | 31/32 | 63/64 | 127/128 | 255/256 | 511/512 | 1023/1024 | 2047/2048 | 4095/4096 | 8191/8192 | 16383/16384 | 32767/32768 |
| A OR B | 1/3 | 5/9 | 19/27 | 65/81 | 212/243 | 665/729 | 2059/2187 | 6305/6561 | 19171/19683 | 58025/59049 | 175099/177147 | 527345/531441 | 99.49% | 99.66% | 99.77% |
| A | 1/6 | 11/36 | 91/216 | 671/1296 | 4561/7776 | 31031/46656 | 201811/279936 | 1288991/1679616 | 8124571/10077696 | 83.85% | 86.54% | 88.78% | 90.65% | 92.21% | 93.51% |
| (A OR B) AND (A OR B) | n/a | ||||||||||||||
| (A OR B) AND (B OR C) | n/a | ||||||||||||||
| (A OR B) AND (C OR D) | n/a | ||||||||||||||
| (A AND B) OR (C AND D) | n/a | ||||||||||||||
| A AND (A OR B) | n/a | ||||||||||||||
| A AND (B OR C) | n/a | ||||||||||||||
| A AND A | n/a | ||||||||||||||
| A AND B | n/a | ||||||||||||||
| A AND (A OR B) AND (C OR D) | n/a | na | |||||||||||||
| A AND (A OR B) AND (A OR C) | n/a | na | |||||||||||||
| A AND (A OR B) AND (B OR C) | n/a | na | |||||||||||||
| A AND (B OR C) AND (C OR D) | n/a | na | |||||||||||||
| A AND (B OR C) AND (D OR E) | n/a | na | |||||||||||||
| A AND ((B AND C) OR (D AND E)) | n/a | na | |||||||||||||
| A AND B AND (A or B) | n/a | na | |||||||||||||
| A AND B AND (B or C) | n/a | na | |||||||||||||
| A AND A AND (C or D) | n/a | na | |||||||||||||
| A AND B AND (C or D) | n/a | na | |||||||||||||
| A AND A AND A | n/a | n/a | 1/36 | ||||||||||||
| A AND A AND B | n/a | n/a | |||||||||||||
| A AND B AND C | n/a | n/a | 1/36 |
Infos
- http://www.semistable.com/dicelab/ - local tool with own language to craft results and calculate probabilities
- https://anydice.com/ - Can craft custom functions there, such as
function: SEQUENCE:s has N:n and NN:n or NNN:n{
result: (SEQUENCE=N) & ((SEQUENCE = NN) | (SEQUENCE = NNN)) > 0
}
output [2d6 has 2 and 4 or 3]
