PLEASE SHOW YOUR WORK 1. There are 11 rolls of film in a box and 4 are defective

Question

PLEASE SHOW YOUR WORK 1. There are 11 rolls of film in a box and 4 are defective. Two rolls are to be selected with replacement. What is the probability of selecting a defective roll followed by another defective roll? 2. Suppose that there are five individuals constituting the top management of small manufacturing firm. If only three of the five officers will be asked to represent the company at a banquet, how many different ways can they be seated at the banquet table assuming that the seating order is important?

Explanation / Answer

1.
There are 11 rolls of film in a box and 4 are defective(with replacement)
p(2 are fefective)=(4 C 1/15 C 1)*(4 C 1/15 C 1)
=sqrt(4/11)
=0.1296

2.
Suppose that there are five individuals , If only three of the five officers will be asked to represent the company at a banquet
5 possible options to fill out 3 pogitions is 5*4*3
=60 different ways can they be seated at the banquet table

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