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If I roll a fair die n times, then the probability of getting at least one 1 is greater than 1/2.  Find the smallest n that has this property.

 Aug 2, 2020
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When n = 4, then the probability of at least 1 one is as follows:

 

[(4nCr1 * 5^3) + (4nCr2 * 5^2) + (4nCr3 * 5^1) + (4nCr4 * 5^0) ] / 6^4 =51.77 %

 Aug 2, 2020

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