The probability of a man hitting a target is

Question:

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

is greater than $\frac{1}{4}$, is

 

Solution:

We have, $1-$ (probability of all shots result in

failure) $>\frac{1}{4}$

$\Rightarrow 1-\left(\frac{9}{10}\right)^{\mathrm{n}}>\frac{1}{4}$

$\Rightarrow \frac{3}{4}>\left(\frac{9}{10}\right)^{\mathrm{n}} \Rightarrow \mathrm{n} \geq 3$

 

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