SOLUTION: Gino has 5 blue socks and 4 black socks. He selected one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. P(blue, then blac

Algebra ->  Probability-and-statistics -> SOLUTION: Gino has 5 blue socks and 4 black socks. He selected one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. P(blue, then blac      Log On


   



Question 963364: Gino has 5 blue socks and 4 black socks. He selected one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability.
P(blue, then black)
P(black, then blue)
P(black, then black)
P(blue, then blue)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
B-Blue
K-Black
.
.
.
P%28B%2CK%29=P%28B%29%2AP%28K%29=%285%2F9%29%284%2F8%29=5%2F18
P%28K%2CB%29=P%28K%29%2AP%28B%29=%284%2F9%29%285%2F8%29=5%2F18
P%28K%2CK%29=P%28K%29%2AP%28K%29=%284%2F9%29%283%2F8%29=1%2F6
P%28B%2CB%29=P%28B%29%2AP%28B%29=%285%2F9%29%284%2F8%29=5%2F18
When you sum them up you get 1, which you should get since these are the only four possible outcomes.