your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

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04-05-2018
Mathematics

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your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

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konrad509 konrad509 · Answer 1 · 2018-07-17T16:22:08+02:00

konrad509 konrad509

17-07-2018

[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]

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