A customer from Cavallaros Fruit Stand picks a sample of 4 o

A customer from Cavallaro\'s Fruit Stand picks a sample of 4 oranges at random from a crate containing 60 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.)

Solution

total oranges = 60

customer pics 4 oranges randomly

probability that no oranges are rotten is (55 )/ 60 * 54/59* 53/58 * 52/57 = .6994

now the probability that one or more oranges are rotten is

1 - .6994 = .301