These calculations involve the following formula based on the probability that E

Question

These calculations involve the following formula based on the probability that Event A and Event B will occur:
P (A and B) = P (A) x P (B)

Problem:
As supervisor and quality control of Dell Computers, you have found that for every 3 disk drives manufactured, one is always defective. Your staff is instructed to select 2 drives randomly for testing, but the first selected drive is returned and mixed in with the other two before the second selection is made.

Compute the probability that both disk drives are good.

Explanation / Answer

Probability that a selected drive is non-defective = 2/3

As we are replacing back the selected drive and selection is made independent of first, probability of selecting non-defective drive in second selection is 2/3

As events are independent, probability of selecting both drives non-defective is 2/3 * 2/3 = 0.444444444

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