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?

Answer 1

The probability of selecting 1 or more rotten oranges is 0.538.

Step-by-step explanation:

To find the probability that the sample contains 1 or more rotten oranges, we need to calculate the probability of selecting no rotten oranges and subtract it from 1.

In the given crate of 75 oranges, 6 are rotten and 69 are not rotten.

The probability of selecting no rotten oranges out of 5 is (69/75) * (68/74) * (67/73) * (66/72) * (65/71) = 0.462.

Therefore, the probability of selecting 1 or more rotten oranges is 1 - 0.462 = 0.538.