SOLUTION: A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer to t

Question 313620: A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer to the nearest thousandth.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer to the nearest thousandth.
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# of ways to pick 2 lemon: 5C2 = 10
# of ways to pick 2 cherry:7C2 = 21
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# of ways to pick 4 randomly: 12C4 = (12*11*10*8)/(1*2*3*4) = 495
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P(2 lemon and 2 cherry) = [10*21]/495 = 0.4242
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Cheers,
Stan H.
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