SOLUTION: John has 8 white socks, 6 blue socks, and 5 black socks. a) How many socks does he need to pull out to be sure he has a pair of socks? b) How many socks does he need to pull out

Algebra ->  Probability-and-statistics -> SOLUTION: John has 8 white socks, 6 blue socks, and 5 black socks. a) How many socks does he need to pull out to be sure he has a pair of socks? b) How many socks does he need to pull out       Log On


   



Question 261225: John has 8 white socks, 6 blue socks, and 5 black socks.
a) How many socks does he need to pull out to be sure he has a pair of socks?
b) How many socks does he need to pull out to be sure he has a pair of black socks?

Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a) He could pull out white blue black then the next color has to make the pair so he must pull out 4 to have a matching pair.
b)he might pull out all of the white and blue before he gets even one black
14+ the pair of black
so 16 to be sure of a black pair.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
John has 8 white socks, 6 blue socks, and 5 black socks.
a) How many socks does he need to pull out to be sure he has a pair of socks?
Pull one white, one blue, one black.
The next sock will give you a pair
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b) How many socks does he need to pull out to be sure he has a pair of black socks?
Pull 8 white, pull 6 blue, pick one black.
The next sock will give you a pair of black socks.
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Cheers,
Stan H.