Assume that there are 6 different issues of Newsweek magazine, 7 different issues of Popular Science, and 3 different issues of Sports Illustrated, including the December 1st issue, on a rack.

Question

 Assume that there are 6 different issues of Newsweek magazine, 7 different issues of Popular Science, and 3 different issues of Sports Illustrated, including the December 1st issue, on a rack. You choose 4 of them at random.

(1) What is the probability that you choose 3 issues of Newsweek and 1 issue of Popular Science? 

(2) What is the probability that you choose at least 2 of the Popular Science magazines? 

Answer 1

1) C(6,3)C(7,1)/C(6+7+3,4) = 20(7)/1820 = 1/13

2) 1 - P(0) - P(1) = 1 - C(7,0)C(9,4)/C(16,4) - C(7,1)C(9,3)/C(16,4) =

1 - 1*126/1820 - 7*84/1820 =

1 - 9/130 - 21/65 = 79/130