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 D : D P(A)= 4 5 P(R)= 1 3 P(E)= P(A'B)+P(AB') P(E)= 1 5 × 1 3 + 4 5 × 2 3 P(E)= 1 15 + 8 15 P(E)= 9 15 P(E)= 3 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 D
:
D
P(A)=

\frac{4}{5}

P(R)=

\frac{1}{3}

P(E)= P(A'B)+P(AB')
P(E)=

\frac{1}{5} \times \frac{1}{3} + \frac{4}{5} \times \frac{2}{3}

P(E)=

\frac{1}{15} + \frac{8}{15}

P(E)=

\frac{9}{15}

P(E)=

\frac{3}{5}

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