Question

A drawer contains loose socks. there are 2 blue and 4 black socks in the drawers. what is the probability that you choose a sock without looking, then choose a second sock (keeping the first in your hand) without looking and end up with a pair of black socks?

Answer 1

$|\Omega|=6\cdot5=30\\|A|=4\cdot3=13\\\\P(A)=\dfrac{12}{30}=\dfrac{2}{5}=40\%$