Question

The probability that Mr. Q hits a target at any trial is (1/4). Suppose he tries at the target 10 times. Find the probability that he hits the target 

(i) exactly 4 times 

(ii) at least one time.

Answer 1

Let ‘p’ be the probability of hitting the trial

and number of trials ‘n’ = 10 

Probability of ‘x’ success in ‘n’ trials is

(i) Probability that Mr.Q hits the target exactly 4 times is

(ii) Probability that Mr.Q hits the target atleast one time is 

P(X ≥ 1) = 1 – P(X < 1)

= 1 – P(X = 0)