A bag contains 6 black and 3 white balls. Another bag contains 5 black and 4 white balls. If one ball is drawn from each bag, find the probability that these tow balls are of the same colour.

Explanation

To solve the problem, we need to find the probability that the two balls drawn from the bags are of the same color. We can break this down into two cases: both balls are black, and both balls are white.

### Step 1: Calculate the total number of balls in each bag.
- **Bag 1**: 6 black + 3 white = 9 balls
- **Bag 2**: 5 black + 4 white = 9 balls

### Step 2: Calculate the probability of drawing a black ball from each bag.
- Probability of drawing a black ball from Bag 1:
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