(adsbygoogle = window.adsbygoogle || []).push({}); How to calculate this certain probability in dicerolls?

Hi,

I am writing a game in which AT LEAST a 5 and 4 must be rolled with 2,3,4,5,6 and 7 dice. To calculate this probability I got stuck with the binomial formula nCk*p^k*q^(n-k).

I am looking for the formula that gives the solution to the question what this probability is.

I used a Monte Carlo simulation to check my formula but couldn't get close enough.

I used the formula nPk*p^k*q^(n-k), note the permutational formula, because a 5, then a 4 is different form a 4, then a 5....

On 7 dice the error was consistent but not to be overlooked.

How do I get to the right formula?

thanks for your help!

Marc

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# How to calculate probability in dicerolls?

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