Confusion with regards to the phrase "exactly one of the events occurs" – math.stackexchange.com

Suppose we have events $A$ and $B$. We want to write the probability that $\bf exactly \; one \; of \; the \; events \; A, B \; occurs$ in terms of $P(A),P(B)$ and $P(A \cap B)$ only My thought: ...

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