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The integers r and k are randomly selected, where 3 < r < 6 and 1 < k < 8. What is the
probability that the division r/k is an integer value? Express your answer as a common fraction.

 Jan 1, 2022
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r=3, 4, 5, 6

k=1, 2, 3, 4, 5, 6, 7, 8

 

4 x 8 ==32 possible divisions.

 

3/1,  3/3,  4/1,  4/2, 4/4, 5/1, 5/5, 6/1, 6/2, 6/3, 6/6 - these all give integer values. I count 11 of them.

 

Therefore, the probability is: 11 / 32

 Jan 2, 2022

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