A bag contains 7 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples.

Answer 1

In a sample of 3 apples we can pick more red than yellow by picking RRR, RRY, RYR or YRR

Prob of RRR is (7/13)(6/12)(5/11)=210/1716

Prob RRR is (7/13)(6/12)(6/11)=252/1716

Prob RRY is (7/13)(6/12)(6/11)=252/1716

Prob YRR is (6/13)(7/12)(6/11)=252/1716

Total = 966/1716= .5692