Question

Let’s say you have a bedroom drawer that contains about 2 red socks, 4 white socks, and 8 blue socks. Without looking in the drawer, you pick out a sock, take it back, and then pick out a second sock. What could the probability be if the first sock is white and the second sock is blue? Write the final answer is a/b.

P(first sock is white and second sock is blue)=

(My answer is 6/49) is that right?

Answer 1

No
Prob(first is white) = 4/14 = 2/7
now there are only 13 socks left, so
prob(2nd is blue) = 8/13

prob(1st white, then blue) = (2/7)(8/13) = 16/91