QJEEM20Maa01a: JEE Main 2020 Mathematics - Class 12 JEEM20Maa01a Solution: The probability of a man hitting a target is 1 10 . The least…

Question

Verified Solution • 2025–26 Session moderate

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 ____________.

Accepted Answer

We have,

1 -

(probability of all shots results in failure out of n trials) >

\frac{1}{4}

\Rightarrow 1 - {(\frac{9}{10})}^{n} > \frac{1}{4}

\Rightarrow \frac{3}{4} > {(\frac{9}{10})}^{n} \Rightarrow n \geq 3

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