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A shipment of 24 electric typewriters is rejected if 3 are checked for defects and at least 1 is found to be defective Find the probability that the shipment will be returned if there are actually 6?
Wiki User
∙ 13y ago
You keep them if you test 3 and all pass.
There are 18 good ones and 6 bad (making 24)
Chance of first passing is 18/24
If it passes, there are now one less good and one less total.
Chance of second passing is 17/23
If it passes, there are now one less good and one less total.
Chance of second passing is 16/22
Total is (16 x 17 x 18) / (22 x 23 x 24) = about 0.4 (0.403162055 is you really want to know).
So probability all are ok is 0.4
Thus probability you find at least one bad one is 0.6
Wiki User
∙ 13y ago
Anonymous
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