A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two socks without looking and without replacement, what is the probability that you will pick a navy sock and a black sock?

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Answer 1 · 2018-07-08T04:54:30

#P(N, N) = 14/39 ~~.3590 = 35.9%#

Given: A sock drawer contains #8# navy, and #5# black socks.

The probability of getting a navy sock is #" "P(N) = 8/13#

The first sock is not replaced so the second sock, assuming you got the navy from the first sock: P(2nd Navy) = 7/12#

#P(N, N) = 8/13 * 7/12 = 56/156 = 14/39 ~~ .3590#