Probability Ques 38

Question-

Directions : The following line graph shows the details of male and female students in five different groups. Consider the following graph and answer the questions given below:

Two students are selected from Group - $Q$ at random one by one with replacement. What is the probability that both the students are females?

(1) $\frac{9}{25}$

(2) $\frac{16}{49}$

(3) $\frac{11}{30}$

(4) $\frac{25}{42}$

(5) $\frac{14}{34}$

Show Answer

Correct Answer: (1)

Solution: (1)

Required probability $=\frac{{ }^{6} C_{1}}{{ }^{10} C_{1}} \times \frac{{ }^{6} C_{1}}{{ }^{10} C_{1}}=\frac{6}{10} \times \frac{6}{10}$ $=\left(\frac{3}{5}\right)^{2}=\frac{9}{25}$