If A and B are independent events, then `P(A nn B)` =____________.

Answer

To find the value of \( P(A \cap B) \) when A and B are independent events, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Independence**:
- Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other. This means that the probability of both events occurring together is the product of their individual probabilities.

2. **Using the Formula for Independent Events**:
- The formula for the probability of the intersection of two independent events A and B is given by:
\[ P(A \cap B) = P(A) \times P(B) \]

3. **Conclusion**:
- Therefore, if A and B are independent events, then:
\[ P(A \cap B) = P(A) \times P(B) \]

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

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