Dice

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	3/6
A OR B	2/6
A	1/6
(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]