Question

In a village, out of 60 couples, 15 couples were married at the age of 21 to 23, 25 couples were married at the age of 24 to 27 and 16 couples were married at the age of 28 to 30. The rest, after the age of 30. What is the probability that a couple gets married after the age of 30?

• A. $\frac{2}{15}$
• B. $\frac{1}{15}$
• C. $\frac{3}{15}$
• D. $\frac{4}{15}$

Answer 1

The correct option is B

$\frac{1}{15}$

Total number of couples in the village = 60

Number of couples who married after the age of 30 = 60 - 15 - 25 - 16 = 4

Probability that a couple married after the age of 30 = $\frac{\text{Number of couples who married after the age of 30}}{\text{Total number of couples}}$

So, probability of a couple to get married after the age of 30 $=\frac{4}{60}$ $=\frac{1}{15}$