If the probability of hitting a target by a shooter, in any shot is 1 3 , then the minimum number of…

If the probability of hitting a target by a shooter, in any shot is 13, 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 56, is:
  1. 4
  2. 5
  3. 6
  4. 3

Solution

Phittingtarget=13

Let number of trials =n

Phitting  target  atleastonce

=1-P not hit

=1-23n>56

16>23n

So minimum number of trials =5

Asked in: JEE Main 2019 (10 Jan Shift 2)

Practice more Probability questions on Aicharya