If A and B are independent events then`P(A cap B)` is equal to

Options

A. `P(A)+P(B)`
B. `P(A)-P(B)`
C. `P(A).P(B)`
D. `(P(A))/(P(B))`

Answer

To solve the question, we need to understand the concept of independent events in probability.

### Step-by-Step Solution:

1. **Understanding Independent Events**:
- Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other.

2. **Definition of Intersection**:
- The intersection of two events A and B, denoted as \( A \cap B \), represents the event that both A and B occur simultaneously.

3. **Probability of Intersection for Independent Events**:
- For independent events, the probability of the intersection of A and B is given by the formula:
\[ P(A \cap B) = P(A) \times P(B) \]
- This means that to find the probability that both events occur, we multiply their individual probabilities.

4. **Conclusion**:
- Therefore, if A and B are independent events, the probability \( P(A \cap B) \) is equal to \( P(A) \times P(B) \).

### Final Answer:
\[ P(A \cap B) = P(A) \times P(B) \]