Cavallaro’s fruit stand

Question

A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 75 oranges, of which 6 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.)

Answer 1

p = 6/75 = 2/25 = 8%

binomial p=0.08, N=5,

Prob(X>=2) = 1 - Prob(X=0) - Prob(x=1)

1 - (5 choose 0) 0.08^0 0.92^5 - (5 choose 1) 0.08^1 0.92^4

= 1 - 0.92^5 - 5 * 0.08 * 0.92^4

= 0.0543612928