SOLUTION: A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first

Algebra ->  Probability-and-statistics -> SOLUTION: A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first      Log On


   



Question 320299: A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is blue?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is blue?
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P(blue on 1st draw) = 11/22 = 1/2
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Since the blue sock is replaced,
P(blue on 2nd draw) = 11/22 = 1/2
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P(2 blue with replacement) = (1/2)(1/2) = 1/4
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Cheers,
Stan H.
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