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 . &nbsp 2 5 B . &nbsp 3 10 C . &nbsp 4 15 D . &nbsp None 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-JE

Discussion Forum : Probability I

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 .

\frac{2}{5}

B .

\frac{3}{10}

C .

\frac{4}{15}

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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Discussion Forum : Probability I

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