Question 825326: An automobile manufacturing plant produced 31 vehicles today: 11 were sedans, 11 were vans, and 9 were trucks. Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles. What is the probability that two trucks will be selected?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An automobile manufacturing plant produced 31 vehicles today: 11 were sedans, 11 were vans, and 9 were trucks. Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles. What is the probability that two trucks will be selected?
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# of ways to succeed:: 9C2 = 72
# of possible pairs:: 31C2 = 465
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P(2 trucks without replacement) = 72/465 = 0.1548
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Cheers,
Stan H.
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