If the probability of hitting a target by a shooter, in any shot is 1 3 , then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than 5 6 , is:

Question

If the probability of hitting a target by a shooter, in any shot is 1 3 , then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than 5 6 , is:, 4, 5, 6, 3

MARKS App · Accepted Answer

P hitting target = 1 3 Let number of trials = n P h i t t i n g t a r g e t a t l e a s t o n c e = 1 - P not hit = 1 - 2 3 n > 5 6 ⇒ 1 6 > 2 3 n So minimum number of trials = 5

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