SOLUTION: Helena Maksimovik, the human resources director for a company, is given the task of hiring 2 salespeople from four candidates. From their resumes, the candidates could be ranked as

Question 919160: Helena Maksimovik, the human resources director for a company, is given the task of hiring 2 salespeople from four candidates. From their resumes, the candidates could be ranked as follows: 1)Noel, 2)Sara, 3)Emil, 4)Fran. It is 2 days before Helena's scheduled vacation and she does not want to take the time to go through a formal interview process. Instead, she decides to hire 2 of the candidates at random.
Determine the probability that the selection will include:
a) At least one of the top 2 candidates
b) Both of the top 2 candidates
c) Neither of the top 2 candidates
d) Emil, if you know Sara has been selected
e) Either Emil or Fran, if you know Sara has been selected
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
4C2 = 6 PAIRINGS: 12,13,14,23,24,34
a) P(At least one of the top 2 candidates) = 1 - P(neither) = 1- 1/6 = 5/6
b) P(Both of the top 2 candidates) = 1/6
c) P(Neither of the top 2 candidates) = 1/6
P(A|B) = P(A and B)/P(B)
d) P(3 |2) = = 1/3
e) P(3 0r 4 |2) = = 2/3

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