Probability help:

Question

Assume that there are 5 different issues of Popular Science, 6 different issues of Sports Illustrated, and 3 different issues of Newsweek, including the December 1st issue, on the rack. You choose 4 of them at random.
(1) What is the probability that you choose 3 issues of Popular Science and 1 issue of Sports Illustrated?


(2) What is the probability that you choose at least 3 of the Sports Illustrated magazines?

Answer 1

5 p, 6 s, 3 n

choose 4 at random

what are odds you get 3 p and 1 s

1 choice and 1 p would be 5/14

2 choices and 2p would be (5/14)(4/13)

3 choices and 3 p would be (5/14)(4/13)(3/12) = 5/14(13) = 5/182

1 more choice and 1 s would be 6/11)(5/182)= 15/11(91) = 15/1001