The board of directors of saner automatic door company consists of 12 members, 3 of whom are women. a new policy and procedures manual is to be written for the company. a committee of three is randomly selected from the board to do the writing. what is the probability that at least one member of the committee is a woman

Step-by-step explanation:

Given : The board of directors of Saner Automatic Door Company consists of 12 members, 3 of whom are women.

Number of Men = 12-3=9

Now, the probability that at least 1 member of the committee is a woman= 1- Probability all members are men.           (1)

Number of combinations of choosing all men members =

Number of combinations of choosing any 3 members out of 12

=

Probability that all members of the committee are men=

Now, from (1)

The probability that at least 1 member of the committee is a woman will be

Hence, the probability that at least 1 member of the committee is a woman=

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step-by-step explanation: