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Two numbers are chosen at random, with replacement, from the set {1,2,3,4}. The two numbers are used as the numerator and denominator of a fraction. What is the probability that the fraction represents a whole number? Express the answer as a common fraction.

 Oct 14, 2018
 #1
avatar+100569 
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Foe convenience sake, let the first number drawn  be the numerator of the fraction and the second the denominator.....

 

We have the following possibilities  (16)

 

1/1   2/2   3/3    4/4

1/2   1/3   1/4

2/3   2/4

3/4

2/1   3/1   4/1

3/2   4/2

4/3

 

 

The ones in red are whole numbers   (7)

 

So

 

7 / 16

 

 

cool cool cool

 Oct 14, 2018
edited by CPhill  Oct 15, 2018

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