Question

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having number divisible by 4 and 5?

• A. 1/25
• B. 2/25
• C. 2/20
• D. 2/40

Answer 1

The correct option is D

2/40

Given,

Total number of marble stones=Total number of outcomes = 100

Numbers divisible by 4 and 5 = Numbers divisible by the LCM of 4 and 5

i.e., Numbers divisible by 20 are 20, 40, 60, 80, 100.

$\Rightarrow$ Number of favourable outcomes= 5

Probability of an event, P(E) =$=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

P(E) = $\frac{5}{100}$ = $\frac{1}{20}$

Therefore, the probability of drawing a marble having number divisible by 4 and 5 is $\frac{1}{20}$ .