Dice
From ThorxWiki
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!| Name !! Requirement !! 1D6 !! 2D6 !! 3D6 !! 4D6 !! 5D6 !! 6D6 !! 7D6 !! 8D6 !! 9D6 !! 10D6 !! 11D6 !! 12D6 !! 13D6 !! 14D6 !! 15D6 |
!| Name !! Requirement !! 1D6 !! 2D6 !! 3D6 !! 4D6 !! 5D6 !! 6D6 !! 7D6 !! 8D6 !! 9D6 !! 10D6 !! 11D6 !! 12D6 !! 13D6 !! 14D6 !! 15D6 |
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| − | | tripleor || 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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| − | | simpleor || 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 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% |
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| − | | simplesingle || 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 || 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% |
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| − | | || (A OR B) AND (A OR B) || n/a || || || || || || || || || || || || || || |
+ | | (A OR B) AND (A OR B) || n/a || || || || || || || || || || || || || || |
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| − | | || (A OR B) AND (B OR C) || n/a || || || || || || || || || || || || || || |
+ | | (A OR B) AND (B OR C) || n/a || || || || || || || || || || || || || || |
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| − | | || (A OR B) AND (C OR D) || n/a || || || || || || || || || || || || || || |
+ | | (A OR B) AND (C OR D) || n/a || || || || || || || || || || || || || || |
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| − | | || (A AND B) OR (C AND D) || n/a || || || || || || || || || || || || || || |
+ | | (A AND B) OR (C AND D) || n/a || || || || || || || || || || || || || || |
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| − | | || A AND (A OR B) || n/a || || || || || || || || || || || || || || |
+ | | A AND (A OR B) || n/a || || || || || || || || || || || || || || |
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| − | | || A AND (B OR C) || n/a || || || || || || || || || || || || || || |
+ | | A AND (B OR C) || n/a || || || || || || || || || || || || || || |
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| − | | simpleand-twin || A AND A || n/a || || || || || || || || || || || || || || |
+ | | A AND A || n/a || || || || || || || || || || || || || || |
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| − | | simpleand || A AND B || n/a || || || || || || || || || || || || || || |
+ | | A AND B || n/a || || || || || || || || || || || || || || |
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| − | | || A AND (A OR B) AND (C OR D) || n/a || na || || || || || || || || || || || || || |
+ | | A AND (A OR B) AND (C OR D) || n/a || na || || || || || || || || || || || || || |
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| − | | || A AND (A OR B) AND (A OR C) || n/a || na || || || || || || || || || || || || || |
+ | | A AND (A OR B) AND (A OR C) || n/a || na || || || || || || || || || || || || || |
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| − | | || A AND (A OR B) AND (B OR C) || n/a || na || || || || || || || || || || || || || |
+ | | A AND (A OR B) AND (B OR C) || n/a || na || || || || || || || || || || || || || |
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| − | | || A AND (B OR C) AND (C OR D) || n/a || na || || || || || || || || || || || || || |
+ | | A AND (B OR C) AND (C OR D) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-doubleor || A AND (B OR C) AND (D OR E) || n/a || na || || || || || || || || || || || || || |
+ | | A AND (B OR C) AND (D OR E) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-parallelor || A AND ((B AND C) OR (D AND E)) || n/a || na || || || || || || || || || || || || || |
+ | | A AND ((B AND C) OR (D AND E)) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-whichtwin || A AND B AND (A or B) || n/a || na || || || || || || || || || || || || || |
+ | | A AND B AND (A or B) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-maybetwin || A AND B AND (B or C) || n/a || na || || || || || || || || || || || || || |
+ | | A AND B AND (B or C) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-twinandor || A AND A AND (C or D) || n/a || na || || || || || || || || || || || || || |
+ | | A AND A AND (C or D) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-singleor || A AND B AND (C or D) || n/a || na || || || || || || || || || || || || || |
+ | | A AND B AND (C or D) || n/a || na || || || || || || || || || || || || || |
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| − | | tripleand-triplet || A AND A AND A || n/a || n/a || 1/36 || || || || || || || || || || || || |
+ | | A AND A AND A || n/a || n/a || 1/36 || || || || || || || || || || || || |
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| − | | tripleand-twin || A AND A AND B || n/a || n/a || || || || || || || || || || || || || |
+ | | A AND A AND B || n/a || n/a || || || || || || || || || || || || || |
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| − | | tripleand || A AND B AND C || n/a || n/a || 1/36 || || || || || || || || || || || || |
+ | | A AND B AND C || n/a || n/a || 1/36 || || || || || || || || || || || || |
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Revision as of 19:32, 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
| Name | 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]
