Question

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

Answer 1

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