Two numbers ' a ' and ' b ' are selected (successively without replacement in that order) from the integers 1 to 10. What is the probability that (a/b) will be an integer?

Question

Two numbers ' a ' and ' b ' are selected (successively without replacement in that order) from the integers 1 to 10. What is the probability that (a/b) will be an integer? (A) (17/45) (B) (1/5) (C) (19/90) (D) (8/45)

Tardigrade Admin · Accepted Answer

b=1, a=2,3, ldots, 10 b=2, a=4,6, ldots, 10 In this way, find the number of favourable events such that a / b is an in integer.

Q. Two numbers ' $a$ ' and ' $b$ ' are selected (successively without replacement in that order) from the integers 1 to 10. What is the probability that $\frac{a}{b}$ will be an integer?

$\frac{17}{45}$

$\frac{1}{5}$

$\frac{19}{90}$

$\frac{8}{45}$

$b = 1, a = 2, 3, \dots, 10$
$b = 2, a = 4, 6, \dots, 10$
In this way, find the number of favourable events such that $a / b$ is an in integer.

Q. Two numbers ' a ' and ' b ' are selected (successively without replacement in that order) from the integers 1 to 10. What is the probability that ba​ will be an integer?

4517​

51​

9019​

458​