The probability of simultaneous occurrence of at least one of two events A and B is p. If the probability that exactly one of A, B occurs is q then prove that `P(barA)+P(barB) = 2 - 2p + q`

Explanation

To prove that \( P(\bar{A}) + P(\bar{B}) = 2 - 2p + q \), we will follow these steps:

### Step 1: Understand the Given Information
We are given:
- \( P(A \cup B) = p \) (the probability of at least one of the events A or B occurring).
- \( P(\text{exactly one of A or B}) = q \).

### Step 2: Use the Formula for Union of Two Events
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