Question 167

Out of 5 girls and 3 boys, a total of 4 children are to be randomly selected for a quiz contest. What is the probability that all the four children are girls?

Solution

The total number of ways in which 4 children can be selected is $$^8C_4 = 70$$

The number of favorable ways in which this can be done is $$^5C_4 = 5$$

Hence, the required number of ways equals $$\frac{5}{70} = \frac{1}{14}$$

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: