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# Probability

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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.

Jun 14, 2021

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Let the set of values of r = {4,5} and k = {2,3,4,5,6,7} and let E be the event that  $$r\over k$$  is an integer.

⇒Total no. of outcomes = 12

No. of favourable outcomes = 2

$$P(E) = {2\over 12} = {1\over 6}$$

Jun 14, 2021