Probability

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?