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