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What is the probability that when we roll 5 fair 6-sided dice, at most 4 of them will show 1?
 

 Sep 1, 2018
 #1
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What is the probability that when we roll 5 fair 6-sided dice, at most 4 of them will show 1?

 

So there can be 0, 1, 

1- P( all ones)

 

If all the dice are different then there are  6^5  possible permutations.

There is only 1 way that they can all be 1s

 

so prob = (1-  1/6^5) = (6^5-1)/6^5 

 

(6^5-1)/6^5 = 7775/7776

 Sep 1, 2018

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