Question

Ashu studies at Byju's classes and her probability of selection in IIT-JEE is $\frac{4}{5}$. Ridhima took coaching at FIIT-JEE and the probability of her selection is $\frac{2}{3}$. What is the probability that only 1 of them cracks the Exam?

• A. $\frac{2}{5}$
• B. $\frac{3}{10}$
• C. $\frac{4}{15}$
• D. None of the above.

Answer 1

The correct option is A

$\frac{2}{5}$

P(A)= $\frac{4}{5}$

P(R)=$\frac{2}{3}$

P(E)= P(A'R)+P(AR')

P(E)=$\frac{1}{5}\times \frac{2}{3}+\frac{4}{5}\times \frac{1}{3}$

P(E)=$\frac{2}{15}+\frac{4}{15}$

P(E)= $\frac{6}{15}$

P(E)= $\frac{2}{5}$