Two numbers ‘a’ and ‘6’ are selected successively without replace… - Vidyadip

MCQ

Two numbers ‘a’ and ‘6’ are selected successively without replacement in that order from the integers 1 to 10. The probability that $\frac{\text{a}}{\text{b}}$ is an integer, is:

A
$\frac{17}{45}$
B
$\frac{1}{5}$
✓
$\frac{17}{90}$
D
$\frac{8}{45}$

✓

Answer

Correct option: C.

$\frac{17}{90}$

a and b are two number to be selected from the integers = 1 to 10 without replacement of a and b
i.e., 1 to 10 = 10
And 2 to 10 = 9
No. of ways = 10 × 9 = 90
Probability of $\frac{\text{a}}{\text{b}}$ where it is an integer
Possible event will be

= (2, 2), (3, 3),

(4, 2), (4, 4), (5, 5),

(6, 2), (6, 3), (6, 6),(7, 7), (8, 2), (8, 4), (8, 8),

(9, 3), (9, 9), (10, 2), (10, 5), (10, 10), = 17

$\text{P(E)}=\frac{\text{m}}{\text{n}}=\frac{17}{90}$

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