A manufacturer has nine distinct motors in stock, two of

Chapter 2, Problem 62E

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QUESTION:

Problem 62E

A manufacturer has nine distinct motors in stock, two of which came from a particular supplier. The motors must be divided among three production lines, with three motors going to each line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.

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QUESTION:

Problem 62E

A manufacturer has nine distinct motors in stock, two of which came from a particular supplier. The motors must be divided among three production lines, with three motors going to each line. If the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.

ANSWER:

Solution 62E

Step1 of 2:

We have A manufacturer has 9 distinct motors in stock.

The number of motors came from particular supplier = 2.

The motors must be divided among 3 production lines, with 3 motors going to each line.

We need to find the probability that both motors from the particular supplier are assigned to the first line when the assignment of motors to lines is random.


Step2 of 2:

1).Here 2 motors should be assigned to line 1. The number of ways in which remaining 7 motors  

     can be given to 3 lines such as:

    1

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