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Theorems of probability

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Question

The probability of a man hitting a target in one fire is 15. Then the minimum number of fire he must follow in  order to make his chance of hitting the target more than 34is

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Solution

 Probability of hitting the target in one fire, p=15 Then the probability of hitting the target at least once in n fires

=1 (probability of not hitting the target) =1(4/5)n>3/4(4/5)n<1/4 The least value of n is 7
 


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