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

Explanation

To find the probability of the intersection of two independent events A and B, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the probabilities of events A and B:**
- Given: \( P(A) = 0.4 \)
- Given: \( P(B) = 0.5 \)

2. **Understand the relationship between independent events:**
- For independent events, the probability of the intersection of A and B (denoted as \( P(A \cap B) \)) is given by the formula:
\[ P(A \cap B) = P(A) \times P(B) \]

3. **Substitute the known probabilities into the formula:**
- Using the values from step 1:
\[ P(A \cap B) = P(A) \times P(B) = 0.4 \times 0.5 \]

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

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