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Question

The probability that A hits a target is 34. Then the minimum number of attempts A should take so that the probability of hitting the target at least once is at least 0.99, is

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Solution

Let p be the probability of hitting the target.
p=34
and q=1p=14
P(X=x)=nCxpxqnx
We have to find the smallest n such that
P(X1)0.991P(X=0)0.990.01nC0(34)0(14)n04n100
Hence, the minimum value of n is 4.

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