A sorority has 12 members, 4 of whom are full members and 8 are pledges. Two persons are selected at random from the membership list of the sorority. Find the probability: the second person selected is a pledge.

Question

A sorority has 12 members, 4 of whom are full members and 8 are pledges. Two persons are selected at random from the membership list of the sorority. Find the probability: the second person selected is a pledge. ​

Quizplus · Accepted Answer

There are 12 members in total, and 8 of them are pledges. When the first person is selected, there are no restrictions, so the probability is 12/12 = 1. 
When the second person is selected, there are only 11 members left, so the probability of selecting a pledge is 8/11 (since there are 8 pledges left out of the 11 remaining members). 
Thus, the overall probability of selecting two members with the second person being a pledge is: 
1 x 8/11 = 8/11. 
Therefore, the best choice is B).

A Sorority Has 12 Members, 4 of Whom Are Full