Question

"a box contains" eight chocolates -- two "with pecans", five with coconut, and one with raspberry creme. spider-man eats three of the chocolates, chosen randomly. "what's the probability that he eats" (exactly) one with coconut

Answer 1

$\displaystyle |\Omega|=\binom{8}{3}=\dfrac{8!}{3!5!}=\dfrac{6\cdot7\cdot8}{2\cdot3}=56\\ |A|=5\cdot\binom{3}{2}=5\cdot3=15\\\\ P(A)=\dfrac{15}{56}\approx27\%$