#5 please show work no calculators if the answer is 1-() leave your answer in th

Question

#5 please show work no calculators

if the answer is 1-() leave your answer in this form and doti t Rttp tu s s 5. Mr. Anderson, Ms. Botticelli, Mr. Camargo, Mr. Darbaux, Ms. Evans, and Ms. Fukiyama enter a boardroom on a rainy day and place their black umbrellas in a bin. On the way out, the umbrellas are redistributed back out at random. What is the probability that Mr. Anderson, Ms. Botticelli, and Mr. Camargo all receive the correct umbrella? 6. There are 3 men and 5 women in a group. Two people are selected at random for a committee. ] Let X be the number of men selected on the committee. What is the probability function of

Explanation / Answer

There are 6 umbrellas and they can be distributed among 6 people in

6P6 = 6! = 6*5*4*3*2*1

= 720 ways.

If the mentioned three people receive the umbrellas correctly, then the number of ways the remaining three people receive their umbrallas = 3P3 = 3!

= 3*2*1 = 6

=> Probability = 6/720 = 0.0083

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