Probability Ques 41
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 at random from the group B without replacement. What is the probability that one is male and another is female?
(1) $\frac{35}{66}$
(2) $\frac{25}{11}$
(3) $\frac{20}{11}$
(4) $\frac{13}{11}$
(5) $\frac{33}{11}$
Show Answer
Correct Answer: (1)
Solution: (1)
Required probability $=\left[\left(\frac{7}{12} \times \frac{5}{11}\right)+\left(\frac{5}{12} \times \frac{7}{11}\right)\right]$ $=\frac{35}{132}+\frac{35}{132}=\frac{70}{132}=\frac{35}{66}$