SOLUTION: Show all work: A drawer has 8 white socks, 6 black socks and 4 brown socks. You select 2 socks at random. Find the probability that the first sock is black and the second sock i

Algebra ->  Probability-and-statistics -> SOLUTION: Show all work: A drawer has 8 white socks, 6 black socks and 4 brown socks. You select 2 socks at random. Find the probability that the first sock is black and the second sock i      Log On


   



Question 1141079: Show all work:
A drawer has 8 white socks, 6 black socks and 4 brown socks. You select 2 socks at random. Find the probability that the first sock is black and the second sock is white.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A drawer has 8 white socks, 6 black socks and 4 brown socks. You select 2 socks at random. Find the probability that the first sock is black and the second sock is white.
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18 socks total.
Find the probability that the first sock is black
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6 black socks out of 18 --> 6/18 = 1/3
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the second sock is white.
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You didn't specify if the 1st sock is put back or not - with or without replacement.
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without replacement:
There are 6 white socks out of 17.
--> 6/17
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(1/3)*(6/17) = 2/17