A shipment of 9 microwave ovens contains 3 defective units. A restaurant buys three of these units. What is the probability of the restaurant buying at least two nondefective units?
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Answer:
2/3
Step-by-step explanation:
See the attached figure
Using a probability tree
Probability of picking a defective microwave oven = 3/9 = 1/3
Probability of picking a non-defective microwave oven = 6/9 = 2/3
Probability of picking at least 2 non-defective microwave ovens
= 1/3x/2/3x1/3 + 2/3x1/3x2/3 + 2/3x2/3x1/3 + 2/3x2/3x2/3
= 2/27/+ 4/27 + 8/27
= 18/27
= 2/3
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