For any two evens A and B `P(AuuB)`=

Answer

To solve the problem of finding the probability of the union of two events A and B, we can use the formula for the probability of the union of two events. Here are the steps:

### Step-by-Step Solution:

1. **Understand the Events**: We have two events, A and B. The union of these two events, denoted as \( A \cup B \), represents all outcomes that are in either A, B, or both.

2. **Use the Formula for Union of Two Events**: The probability of the union of two events is given by the formula:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
where:
- \( P(A) \) is the probability of event A occurring,
- \( P(B) \) is the probability of event B occurring,
- \( P(A \cap B) \) is the probability that both events A and B occur simultaneously.

3. **Substitute Values**: If you have specific values for \( P(A) \), \( P(B) \), and \( P(A \cap B) \), substitute them into the formula to calculate \( P(A \cup B) \).

4. **Calculate**: Perform the arithmetic to find the value of \( P(A \cup B) \).

### Example Calculation:
If we assume:
- \( P(A) = 0.5 \)
- \( P(B) = 0.4 \)
- \( P(A \cap B) = 0.2 \)

Then:
\[ P(A \cup B) = 0.5 + 0.4 - 0.2 = 0.7 \]

### Final Answer:
Thus, the probability of the union of events A and B is:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]