SOLUTION: 3. A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of these eight candidates, five are women. If the com

Algebra ->  Probability-and-statistics -> SOLUTION: 3. A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of these eight candidates, five are women. If the com      Log On


   

Question 1145142: 3. A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of these eight candidates, five are women. If the company decides to select two persons randomly from these eight candidates, what is the probability that:
i. Both candidates are women.
ii. The second candidate is a woman.
iii. The first candidate is a woman given that first one is a woman
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

(i)   P = %285%2F8%29%2A%284%2F7%29 = 20%2F56 = 5%2F14.


      The formula is self-explanatory.



(ii)  P = P(first is a man; second is a women) + P(first is a woman and second is a women) = %283%2F8%29%2A%285%2F7%29 + %285%2F8%29%2A%284%2F7%29 = %2815%2B20%29%2F56 = 35%2F56 = 5%2F8.



(iii) EITHER  you INCORRECTLY presented your question,  OR  the answer is 1.