Puzzles | Statistical puzzles | 3 Bags of Marbles

You have three bags, each containing two marbles. Bag #1 contains **two white marbles**, bag #2 contains **two black marbles**, and bag #3 contains **one white marble and one black marble**.

You pick a random bag and take out **one marble**. Given that this is a **white marble**, what is the probability that the remaining marble from the same bag is **also** white?