Question

The probability that a marksman hits a target is 0.2. Then the probability that atleast one hit in 10 shots is

Answer 1

Probability of no hits = (4/5)^10 = 0.107374

Probability of exactly 1 hit = 10C1 x (1/5) x (4/5)^9 = 0.268435

(Select one shot in 10C1 ways x one hit probability x 9 miss probability)

Now atleast 2 shots hit means = 1 - sum of above cases

= 1 - [ (0.107374 + 0.268435) ]

= 0.624191