There are three urns containing 2 white and 3 black balls, 3 white and 2 black balls and 4 white and 1 black balls, respectively. There is an equal probability of each urn being chosen. A ball is drawn at random from the chosen urn and it is found to be white. Find the probability that the ball drawn was from the second urn.

Explanation

To solve the problem, we need to find the probability that a white ball drawn was from the second urn, given that a white ball was drawn. We can use Bayes' theorem for this.

### Step-by-Step Solution:

1. **Identify the Urns and Their Contents:**
- Urn 1: 2 white and 3 black balls
- Urn 2: 3 white and 2 black balls
- Urn 3: 4 white and 1 black ball
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