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?

Question

Mathematics

Damion Lara

21 April, 21:03

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?

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Maximus · Answer 1

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)