SOLUTION: In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three woul
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Question 1123139: In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend. Found 2 solutions by ikleyn, rothauserc:Answer by ikleyn(52765) (Show Source):
There are = = 82160 different ways to select three persons of 80.
If none of the three would buy a car from the friend, it means that all three are from the subset of 80-28 = 52 persons.
There are = = 22100 different ways to select three persons of 52.
The probability under the question is the ratio of these two integers:
P = = 0.2690 = 26.90% (approximately).
You can put this solution on YOUR website! 80 - 28 = 52 would not buy a car from a friend
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Probability that 3 adults selected without replacement would not buy a car from a friend = (52/80) * (51/79) * (50/78) = 0.2689 is approximately 0.269
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