Question

A tire company produced a batch of 6,300 tires that includes exactly 300 that are defective.

If 100 tires are randomly selected for shipment to an outlet what is the probability that they are all good?

Answer 1

0.76%

Explanation:

The probability of a defective tire is 300 / 6300 = 1 / 21.

The probability that a tire is not defective is 20 / 21.

The probability that all 100 tires in a sample aren't defective is:

P = (20 / 21)^100

P ≈ 0.0076