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The probability of a shooter hitting a t...

The probability of a shooter hitting a target is `3/4`. How many minimum number of times must he/she fire so that the probability of hitting the target at least once is more than 0.99?

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To solve the problem step by step, we need to find the minimum number of times a shooter must fire so that the probability of hitting the target at least once is more than 0.99. ### Step 1: Understand the problem The probability of hitting the target (P) is given as \( \frac{3}{4} \). The probability of missing the target (Q) is therefore \( 1 - P = 1 - \frac{3}{4} = \frac{1}{4} \). ### Step 2: Set up the probability condition We want the probability of hitting the target at least once in N trials to be greater than 0.99. The probability of hitting the target at least once can be expressed as: \[ ...
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