dicecalc

README

dicecalc

Probabilities calculation for dice rolls.

Roll a set of dices and measure (there are different ways) the result. What is the probability to get that result?

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Sum

For a set of dices take the sum of all values.

For a 2d6 rolls possible values are 2..12. There are 6^2 = 36 total dice combinations. Let's show some probabilities.

• 2 is given by 1 set - (1,1); probability is 1/36
• similar for 12 - (6,6)
• 3 is given by 2 sets - (1,2), (2,1); probability is 2/36
• similar for 11 - (5,6), (6,5)
• 4 is given by 3 sets - (1,3), (2,2), (3,1); probability is 3/36
• similar for 10 - (4,6), (5,5), (6,4)
• 5 and 9 - 4/36
• 6 and 8 - 5/36
• 7 - 6/36

The task is to calculate probabilities for an arbitrary MdN rolls.

Max

For a set of dices take maximum of all values.

For a 2d6 rolls possible values are 1..6. There are 6^2 = 36 total dice combinations. Let's show some probabilities.

• 1 is given by 1 set - (1,1); probability is 1/36
• 2 is given by 3 sets - (1,2), (2,1), (2,2); probability is 3/36
• 3 is given by sets - (1,3), (2,3), (3,1), (3,2), (3,3); probability is 5/36
• 4 - 7/36
• 5 - 9/36
• 6 - 11/36

The task is to calculate probabilities for an arbitrary MdN rolls.

Min

Just an opposite to max.

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There are console and server wrappers over the library.

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Yandex Cloud function is deployed.

https://functions.yandexcloud.net/d4eppt029egh1r56fsq2