SOLUTION: Seven white socks and four black socks are in a bag. Two socks are drawn at random, without replacement. What is the probability that they have the same color. Write your answer

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Question 256390: Seven white socks and four black socks are in a bag. Two socks are drawn at
random, without replacement. What is the probability that they have the same
color. Write your answer as a reduced fraction.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Seven white socks and four black socks are in a bag. Two socks are drawn at
random, without replacement. What is the probability that they have the same
color. Write your answer as a reduced fraction.
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These are disjoint events.
P(2 white or 2 black) = (7C2 + 4C2)/11C2 = (21 + 6)/55 = 27/55
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Cheers,
Stan H.