SOLUTION: Suppose 15 manual laborers are waiting for a job. There are six positions open. Now, suppose 10 of the 15 have green cards. If the workers are chosen at random, what is the probabi

Question 802066: Suppose 15 manual laborers are waiting for a job. There are six positions open. Now, suppose 10 of the 15 have green cards. If the workers are chosen at random, what is the probability that all of the hired workers have green cards?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose 15 manual laborers are waiting for a job. There are six positions open. Now, suppose 10 of the 15 have green cards. If the workers are chosen at random, what is the probability that all of the hired workers have green cards?
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# of ways to succeed:: 10C6 = 10C4 = (10*9*8*7)/(1*2*3*4) = 210
# of possible groups of 6 = 15C6 = 5005
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P(6 with green cards) = 210/5005 = 0.0420
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Cheers,
Stan H.
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