If A and B are independent events such that `P(A)=0.4` and `P(B)=0.5`, then find `P(AnnB)`.

Explanation

To solve the problem, we need to find the probability of the intersection of two independent events A and B, denoted as \( P(A \cap B) \).

### Step-by-Step Solution:

1. **Understand the Given Information**:
- We know that \( P(A) = 0.4 \) and \( P(B) = 0.5 \).
- Events A and B are independent.

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

3. **Substitute the Values**:
- Now, substitute the values of \( P(A) \) and \( P(B) \) into the formula:
\[ P(A \cap B) = 0.4 \times 0.5 \]

4. **Perform the Multiplication**:
- Calculate the product:
\[ P(A \cap B) = 0.4 \times 0.5 = 0.20 \]

5. **Final Answer**:
- Therefore, the probability of the intersection of A and B is:
\[ P(A \cap B) = 0.20 \]