A drawer contains 2 reds socks, 3 white socks, and 3 blue socks. You draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is red?
The probability of drawing a blue sock on the first draw is 3/8. After returning the sock, the probability of drawing a red sock on the second draw is 2/8 (since we have one less blue sock in the drawer). Therefore, the probability of drawing a blue sock followed by a red sock is (3/8) x (2/8) = 6/64 or 3/32. So the probability is 3/32.
