One bag contains 4 white and 5 black balls. Another bag contains 6 white and 7 black balls. A ball is transferred from first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball dawn is white.

Explanation

To solve the problem, we will use the concept of total probability. We need to find the probability that the ball drawn from the second bag is white after transferring one ball from the first bag to the second bag.

### Step-by-Step Solution:

1. **Identify the contents of the bags:**
- Bag 1 contains 4 white balls and 5 black balls.
- Bag 2 contains 6 white balls and 7 black balls.

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