SOLUTION: $n$ coins are simultaneously flipped. The probability that at most one of them shows tails is $\frac{3}{16}$. Find $n$.

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Question 1117200: $n$ coins are simultaneously flipped. The probability that at most one of them shows tails is $\frac{3}{16}$. Find $n$.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The probability of getting "r" tails when flipping "n" coins is



At most 1 tails means either 0 tails or 1 tails. So we have






That equation can't be solved algebraically; but simple enumeration finds that n is 5:



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