Ashu studies at Byju's classes and her probability of selection in IIT-JEE is 4 5 . Ridhima took coaching at FIIT-JEE and the probability of her selection is 2 3 . What is the probability that only 1 of them cracks the Exam? Options: A . &nbsp25 B . &nbsp310 C . &nbsp415 D . &nbspNone of the above.

Answer: Option A : A P(A)= 4 5 P(R)= 2 3 P(E)= P(A'R)+P(AR') P(E)= 1 5 × 2 3 + 4 5 × 1 3 P(E)= 2 15 + 4 15 P(E)= 6 15 P(E)= 2 5

Ashu studies at Byju's classes and her probability of selection in IIT-JEE

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?

Options:

A . 25

B . 310

C . 415

D . None of the above.

Answer: Option A
:
A
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}

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