# SOLUTION: A drawer is filled with blue, gray, and white socks. The probability that a sock selected at random from the drawer is gray is 1/2 and the probability that the sock is white is 1/6

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A drawer is filled with blue, gray, and white socks. The probability that a sock selected at random from the drawer is gray is 1/2 and the probability that the sock is white is 1/6      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 324045: A drawer is filled with blue, gray, and white socks. The probability that a sock selected at random from the drawer is gray is 1/2 and the probability that the sock is white is 1/6 If all of the blue socks are removed from the drawer, what is the probability of selecting a white sock at random? A 1/2 B 1/6 C 1/4 D 1/3 E 1/2 Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!A drawer is filled with blue, gray, and white socks. The probability that a sock selected at random from the drawer is gray is 1/2 and the probability that the sock is white is 1/6 If all of the blue socks are removed from the drawer, what is the probability of selecting a white sock at random? ----------------------------- Original probability of white is 1-[1/2 + 1/6] = 1/3 Note: If there were originally 6 socks in the drawer, there would be 1 white, 3 gray, and 2 blue. If the 2 blue were removed there would be 4 socks remaining. Since there would still be 1 white, the probability of white would be 1/4. ====================================================== Cheers, Stan H. ======== A 1/2 B 1/6 C 1/4 D 1/3 E 1/2