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A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women? A. 1/8 or 0.125 B. 1/16 or 0.0625 C. 1/120 or 0.00083 D. 1/495 or 0.002

Answer :

Answer:

A. 1/8 or 0.125

Step-by-step explanation:

The probability that all four members of the search committee will be women is 1/495 or 0.002 option (D) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A board of directors consists of eight men and four women.

Total ways of selecting women = 4! = 24

Total favourable outcomes = 12×11×10×9 =11880

The probability = 24/11880 = 1/495

or

= 0.002

Thus, the probability that all four members of the search committee will be women is 1/495 or 0.002 option (D) is correct.

Learn more about the probability here:

brainly.com/question/11234923

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