Question

Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black. He draws 1 sock out of the bag, replaces it, and then draws another sock.

What is the probability that he will draw a black sock and then a red sock, P(black, then red)?

Answer 1

There are 5 socks, so P(black) = 1/5. Because he replaces the sock, the draws are independent and P(red) = 3/5. Thus

P(black then red) = (1/5)·(3/5) = 3/25 ≈ 0.12.