You need at least nine decimal places on this problem. You may want to use fract

Question

You need at least nine decimal places on this problem. You may want to use fractions instead. There are 8 candidates for a position. The candidates are interviewed independently by each member of a committee that has 6 people on it. A candidate will be hired if she is chosen by at least 5 members of the committee. In reality, the committee members cannot really distinguish among the candidates and just choose at random with no biases. What is the probability that a candidate will be selected with a unanimous vote (all committee members choose the same person)? What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)? What is the probability that a candidate will be selected?

Explanation / Answer

number of choices =for first member there are 8 choice for second 8 and so on =86

1)probability that a candidate will be selected with unanimus vote =8/86=1/85 =0.000030518

2) probability that a caldidate will be selected with only one dissenting vote =2*8C2*6/86 =0.010253906

3) probability that candidate will be selected =0.000030518+0.010253906 =0.010284424

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.