The probability of solving a question by Jindal is 3/5 while that of not…

To find the probability that the problem is solved, it is often easiest to calculate the probability that the problem is not solved by either person and subtract that from 1.

Step-by-Step Calculation
Determine individual probabilities:

Probability Jindal solves the problem: P(Jindal) = 3/5

Probability Jindal fails: P(Jindal fails) = 1 - 3/5 = 2/5

Probability Avi does not solve the problem: P(Avi fails) = 1/4

Probability Avi solves the problem: P(Avi) = 1 - 1/4 = 3/4

Calculate the probability that neither solves the problem:
Since the two events are independent, the probability that both fail is the product of their individual failure probabilities:

P(Neither solves) = P(Jindal fails) × P(Avi fails)

P(Neither solves) = (2/5) × (1/4) = 2/20 = 1/10

Calculate the probability that the problem is solved:
The problem is solved if at least one of them succeeds, which is the complement of neither solving it:

P(Problem solved) = 1 - P(Neither solves)

P(Problem solved) = 1 - 1/10 = 9/10

Correct Option
Option B: 9/10