A baseball player's batting average is .200 find the probability that for the next five times at bat he has one hit

Question

This problem is from a binomial theorem worksheet

Answer 1

p = probability that the player gets a hit on a given at bat = 1/5

q = probability that the player doesn't get a hit = 4/5

 

P(1 hit on 5 at bats) = ₅C₁(p)¹(q)⁴

 

                                     = 5(1/5)(4/5)⁴  = 0.4096