The probability of a man hitting a target is 1 10 . The least number of shots required, so that the…

The probability of a man hitting a target is 110. The least number of shots required, so that the probability of his hitting the target at least once is greater than 14, is....

Solution

p=110, q=910

P (not hitting in n trials) =910n

∴ P (at least one hit)=1−910n>14

⇒ 910n<34

0.9n<0.75

If n=3 ⇒ 0.729<0.75 which is true.

Asked in: JEE Main 2020 (04 Sep Shift 1)

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