Exercise 1.a committee of five people is chosen randomly from four men and six women. find the probability that: a) exactly four women are on the committee: b) at least four women are on the committee: c) at most four women are on the committee:

Answer with explanation:

Given : Number of men = 4

Number of women = 6

Total people =

Total number of ways to make a committee of five people from 10 persons :-

a) Number of ways to make committee that has exactly four women :

The  probability that committee has exactly four women :

b) Number of ways to make committee that has at-least four women :

The probability that committee at-least four women :

c) Number of ways that committee has more than 4 women :-

The probability that committee has more than 4 women :-

Now, the  probability that committee has at most four women :-

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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step-by-step explanation:

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