A bag contains `6` red and `5` blue balls and another bag contains `5` red and `8` blue balls. A ball is drawn from the first bag and without noticing its colour is put in the second bag. A ball is then drawn from the second bag. Find the probability that the ball drawn is blue in colour.

Explanation

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

### Step 1: Determine the total number of balls in each bag.

- **First Bag**:
- Red balls = 6
- Blue balls = 5
- Total = 6 + 5 = 11 balls
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