Fair dice roll: What is the smallest value of n, so that the probability...?

samuel.bradley.99

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Suppose that n fair dice are rolled simultaneously. What is the smallest value of n, so that the probability for all numbers from 1 to 6 to show at least once, is at least 10/12?
 
Suppose that n fair dice are rolled simultaneously. What is the smallest value of n, so that the probability for all numbers from 1 to 6 to show at least once, is at least 10/12?
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