If A and B are mutually exclusive events,then`P(AuuB)=`……………..

Answer

To solve the problem, we need to find the probability of the union of two mutually exclusive events A and B.

### Step-by-Step Solution:

1. **Understanding Mutually Exclusive Events**:
- Two events A and B are said to be mutually exclusive if they cannot occur at the same time. This means that the intersection of A and B is empty.
- Mathematically, this is represented as:
\[ P(A \cap B) = 0 \]

2. **Using the Formula for Probability of Union**:
- The formula for the probability of the union of two events A and B is given by:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

3. **Substituting the Values**:
- Since A and B are mutually exclusive, we know that \( P(A \cap B) = 0 \).
- Therefore, we can substitute this into our formula:
\[ P(A \cup B) = P(A) + P(B) - 0 \]
- This simplifies to:
\[ P(A \cup B) = P(A) + P(B) \]

4. **Conclusion**:
- Thus, the probability of the union of two mutually exclusive events A and B is:
\[ P(A \cup B) = P(A) + P(B) \]

### Final Answer:
\[ P(A \cup B) = P(A) + P(B) \]