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 5 people on it. A candidate will be hired if she is chosen by at least 4 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)? 5/16 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?

Answer 1

Answer:

Step-by-step explanation:What is the probability that a candidate will be selected with a

unanimous vote (all committee members choose the same

person)?

=6/(6^5)

=1/(6^4.)

2 What is the probability that a candidate will be selected with only

one dissenting vote (all but one committee members choose the

same person)?

=5 ∗ (1/6)^4 ∗ (5/6) ∗ 6.

=25/(6^4)

3 What is the probability that a candidate will be selected?

=5 ∗ (1/6)^4 ∗ (5/6) ∗ 6 +1/(6^4)

=25/(6^4) +1/(6^4)

=(25+1)/(6^4)

=26/(6^4)