Dice.math

Not all about Dice, just stuff I find interesting.

start with a

Google Sheet for rolling all 6 faces, at least 1 time, of a standard die (1d6 to 6d6)

cell P1 can be changed by a drop-down menu to start with 0 to 6 faces.

dice-1to6-d6-recur

example. we roll 5 dice at the same time (5d6). How many of the 6 faces will we get? We can see that 4 has the highest chance (probability) followed by 3 faces. seen below in photo

standard dice sums (1d6 to 20d6)

way easier to view than to calculate

Google sheet below

d6-sums-ways1-20

standard dice sums (1d6 to 10d6)

using recursion to calculate (1st 1d6, then 2d6, then 3d6 and so on)

Google sheet below. to see how each value is calculated (with simple adding) open in Google sheets and click on a cell to view the cell(s) being summed.

d6-recursion-1-10

standard dice patterns showing number of ways and probabilities for each type of pattern for X number of dice.

1 to 10 dice. Google sheet below.

A pattern is like one of a kind, two of a kind, 3 of a kind etc. Examples:

ABC = just one of a kind with 3 dice

AAB = one pair or two of a kind with 3 dice

AAA = 3 of a kind with 3 dice

dice-patterns-1to10d6