For any two events A and B `P(AuuB)=P(A)+P(B)-`……………………...

Answer

To solve the question regarding the relationship between the probabilities of two events A and B, we can use the formula for the probability of the union of two events. The formula is given by:

\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

Here, \( P(A \cup B) \) represents the probability of either event A or event B occurring, \( P(A) \) is the probability of event A occurring, \( P(B) \) is the probability of event B occurring, and \( P(A \cap B) \) is the probability of both events A and B occurring simultaneously.

### Step-by-Step Solution:

1. **Identify the Formula**:
The formula for the probability of the union of two events is:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

2. **Understanding the Components**:
- \( P(A) \): Probability of event A occurring.
- \( P(B) \): Probability of event B occurring.
- \( P(A \cap B) \): Probability of both events A and B occurring at the same time.

3. **Rearranging the Formula**:
If we want to express \( P(A \cap B) \) in terms of the other probabilities, we can rearrange the formula:
\[ P(A \cap B) = P(A) + P(B) - P(A \cup B) \]

4. **Conclusion**:
The value that fills in the dash in the original question is:
\[ P(A \cap B) \]
Therefore, the complete statement is:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]