An electronics store receives a shipment of 59 flat screen TVs of which 6 are defective. During the qualitycontrol inspection, 3 TVs are selected at random from the shipment for testing. The shipment will only beaccepted if all 3 TVs pass the inspection. What is the probability that the shipment will be accepted?
A) 0.7206
B) 0.7249
C) 0.0011
D) 0.0006

Question

Quizplus · Accepted Answer

The probability that the shipment will be accepted is calculated by finding the probability that all 3 TVs selected are non-defective. There are 53 non-defective TVs out of 59. The probability of selecting a non-defective TV on the first try is 53/59, on the second try (after one non-defective TV has already been selected) is 52/58, and on the third try (after two non-defective TVs have been selected) is 51/57. Multiplying these probabilities gives the overall probability of selecting 3 non-defective TVs in a row: (53/59) * (52/58) * (51/57) = 0.7206.

An Electronics Store Receives a Shipment of 59 Flat Screen