Question

In a village, out of 60 couples, 15 couples were married at the age of 21 to 24, 25 couples were married at the age of 24 to 28 and 16 couples were married at the age of 28 to 30. After an age of 30, no one marries. What is the probability that a couple will remain unmarried?

• A. 2/15
• B. 1/15
• C. 3/15
• D. 4/15

Answer 1

The correct option is B

1/15

Number of couples who remain unmarried = 60 - 15 - 25 - 16 = 4

Total number of couples in a village = 60

Probability that a couple will remain unmarried = $\frac{\text{Number of couples who remain unmarried}}{\text{Total number of couples}}$

So, probability of a couple to remain unmarried $=\frac{4}{60}$ $=\frac{1}{15}$