Vishnu has two jars of marbles, Jar A and Jar B.
Jar A contains 3 yellow marbles and 2 green marbles.
Jar B contains 4 yellow marbles and 3 green marbles.
Vishnu flips a fair coin.
If it lands heads, he picks two marbles at random without replacement from Jar A.
If it lands tails, he picks two marbles at random with replacement from Jar B.
Given that Vishnu picked one yellow and one green marble, what is the probability that they came from Jar B?

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.