SOLUTION: 8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you will pull out 2 socks of the same color?
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Question 446250: 8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you will pull out 2 socks of the same color?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you will pull out 2 socks of the same color?
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There are 14C2 = 7*13 = 91 pairs possible.
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There are 8*4= 32 blue/green pairs
There are 8*2 = 16 blue/white pairs
There are 4*2 = 8 green/white pairs
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Total # of mixed color pairs = (32+16+9) = 56
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# of same color pairs is 91-56 = 35
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P(same color pair) = 35/91
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Another way to work it:
# of same color pairs = (8C2+4C2+2C2) = 28+6+1 = 35
Total # of pairs 14C2 = 91
P(same color pair) = 35/91
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Cheers,
Stan H.
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