Dice

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(moar options, because doubles makes things easier)
(names to each type for reference in external scripts)
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{| class="wikitable"
  
{| class="wikitable"
 
|-
  
|-
−
! 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
 
|-
  
|-
−
| A OR B OR C || 3/6 || || || || || || || || || || || || || ||
 +
| | A OR B OR C || 3/6 || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A OR B || 2/6 || || || || || || || || || || || || || ||
 +
| | A OR B || 2/6 || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A || 1/6 || || || || || || || || || || || || || ||
 +
| | A || 1/6 || || || || || || || || || || || || || ||
 
|-
  
|-
−
| (A OR B) AND (A OR B) || n/a || || || || || || || || || || || || || ||
 +
| | (A OR B) AND (A OR B) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| (A OR B) AND (B OR C) || n/a || || || || || || || || || || || || || ||
 +
| | (A OR B) AND (B OR C) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| (A OR B) AND (C OR D) || n/a || || || || || || || || || || || || || ||
 +
| | (A OR B) AND (C OR D) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| (A AND B) OR (C AND D) || n/a || || || || || || || || || || || || || ||
 +
| | (A AND B) OR (C AND D) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND (A OR B) || n/a || || || || || || || || || || || || || ||
 +
| | A AND (A OR B) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND (B OR C) || n/a || || || || || || || || || || || || || ||
 +
| | A AND (B OR C) || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND A || n/a || || || || || || || || || || || || || ||
 +
| | A AND A || n/a || || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND B || 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 (C OR D) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND (A OR B) AND (A OR C) || 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 (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 (C OR D) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND (B OR C) AND (D OR E) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-doubleor | A AND (B OR C) AND (D OR E) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND ((B AND C) OR (D AND E)) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-parallelor | A AND ((B AND C) OR (D AND E)) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND B AND (A or B) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-whichtwin | A AND B AND (A or B) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND B AND (B or C) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-maybetwin | A AND B AND (B or C) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND A AND (C or D) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-twinandor | A AND A AND (C or D) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND B AND (C or D) || n/a || na || || || || || || || || || || || || ||
 +
| tripleand-singleor | A AND B AND (C or D) || n/a || na || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND A AND A || n/a || n/a || 1/36 || || || || || || || || || || || ||
 +
| tripleand-triplet | A AND A AND A || n/a || n/a || 1/36 || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND A AND B || n/a || n/a || || || || || || || || || || || || ||
 +
| tripleand-twin | A AND A AND B || n/a || n/a || || || || || || || || || || || || ||
 
|-
  
|-
−
| A AND B AND C || n/a || n/a || 1/36 || || || || || || || || || || || ||
 +
| tripleand | A AND B AND C || n/a || n/a || 1/36 || || || || || || || || || || || ||
   
 
|}
 
|}
   
 
== Infos ==
  
== Infos ==
−
* Useful site https://anydice.com/
 +
* http://www.semistable.com/dicelab/ - local tool with own language to craft results and calculate probabilities
   
−
Can craft custom functions there, such as
 +
* https://anydice.com/ - Can craft custom functions there, such as
   
 
<pre>
  
<pre>
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output [2d6 has 2 and 4 or 3]
  
output [2d6 has 2 and 4 or 3]
 
</pre>
  
</pre>
  +
  +
   
   

Revision as of 09:22, 13 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 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 

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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