Statistics Question Please Help

Question

Assume that there are 7 different issues of Popular Science magazine, 6 different issues of Newsweek, 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 2 issues of Popular Science and 2 issues of Newsweek?


(2) What is the probability that you choose at least 1 of the Newsweek magazines?

Answer 1

These are hypergeometic distribution questions. Note: _nC_r is the binomial coefficient of from n pick r.

 

The answer for 1) is ₇C₂ * ₆C₂ / ₁₆C_{4 .}

 

The answer to 2) is 1 - (₁₀C₄ / ₁₆C₄)