SOLUTION: What is the probability (to the nearest whole percent) of picking two black socks out of the drawer on consecutive picks when there are 6 blue socks, 8 black socks, and 6 white soc
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Question 945809: What is the probability (to the nearest whole percent) of picking two black socks out of the drawer on consecutive picks when there are 6 blue socks, 8 black socks, and 6 white socks in the drawer? Assume the first sock is not replaced before the second sock is chosen. Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! For the first pick,
there is a total of socks in the drawer.
and only of them are black,
so the chance of getting a black sock is .
So you would get a black sock of the time.
In the of the cases when your first pick was a black sock,
you would have black socks left,
in a drawer containing a total of socks.
In that case, the chance of getting a black sock for the second pick is .
So, the overall fraction of the times that you would get two black socks out of the drawer on consecutive picks is of of the cases, or (rounding to the nearest whole percent).
