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