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  • The probability of a man hitting a target is . The least number of shots required, so that the probability of his hitting the target at least once

The probability of a man hitting a target is \frac{1}{10}. The least number of shots required, so that the probability of his hitting the target at least once in greater than \frac{1}{4} is___________
Option: 1 6
Option: 2 5
Option: 3 4
Option: 4 3

Answers (1)

best_answer

\begin{aligned} &\text { We have, } 1-\text { (probability of all shots result in failure) }>\frac{1}{4}\\ &\Rightarrow 1-\left(\frac{9}{10}\right)^{\mathrm{n}}>\frac{1}{4}\\ &\Rightarrow \frac{3}{4}>\left(\frac{9}{10}\right)^{n} \Rightarrow n \geq 3 \end{aligned}

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himanshu.meshram

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