Marbles in the Bag

You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble.

You pick a random bag and take out one marble.

It is a white marble.

What is the probability that the remaining marble from the same bag is also white?

Probability is \(\dfrac{a}{b}\), answer as \(a+b\)

Image credit: Wikipedia Adrian Michael

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