Dice

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Dice are an essential part of many games.

This is an exploration of probabilities of D6 (note: Normal D6, not https://en.wikipedia.org/wiki/Sicherman_dice)

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

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]
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