SOLUTION: Your sock drawer has four white socks, four brown socks, and two black socks.You randomly pick a sock and put it on your left foot and then pick another sock and put it on your ri

Algebra ->  Probability-and-statistics -> SOLUTION: Your sock drawer has four white socks, four brown socks, and two black socks.You randomly pick a sock and put it on your left foot and then pick another sock and put it on your ri      Log On


   



Question 1191419: Your sock drawer has four white socks, four brown socks, and two black socks.You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. What is the probability that you leave the house with a white sock on your left foot and a brown sock on your right foot?

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
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Your sock drawer has four white socks, four brown socks, and two black socks.
You randomly pick a sock and put it on your left foot and then pick another sock
and put it on your right foot. What is the probability that you leave the house
with a white sock on your left foot and a brown sock on your right foot?
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The total socks in the drawer is 4 + 4 + 2 = 10.


The probability to get randomly the first sock white on your left foot is 4%2F10.


After that, the probability to get randomly the second sock brown on your right foot is 4%2F9.


The probability to leave the home in two different color socks, as described, is the product


    P = %284%2F10%29%2A%284%2F9%29 = 16%2F90.    ANSWER

Solved.