10% of the bulbs produced in a factory are of red colour and 2% are red and defective. If one bulb is picked at random, determine the probability of its being defective if it red.

Explanation

To solve the problem, we need to determine the probability of a bulb being defective given that it is red. We will use the concept of conditional probability.

### Step-by-Step Solution:

1. **Define the Events**:
- Let \( A \) be the event that a bulb is red.
- Let \( B \) be the event that a bulb is defective.

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