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  4. Two numbers ' a ' and ' b ' are selected successively one after another without replacement from the integers 1 to 15 . What is the probability that (a/b) will be an integer?

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Q. Two numbers ' $a$ ' and ' $b$ ' are selected successively one after another without replacement from the integers 1 to 15 . What is the probability that $\frac{a}{b}$ will be an integer?

Probaility

Solution:

Let $b=1$, then $a=2$ to 15 .
Let $b=2$, then $a=4,6, \ldots, 14$.
In this way, find numbers $a$ and $b$ such that $\frac{a}{b}$ is the integer.