Let $A, B,$ and $C$ be three events. Suppose we know the following probabilities: $P(A) = 0.5, P(B) = 0.5, P(C) = 0.5$ and $P(A \cap B) = 0.2, P(B \cap C) = 0.2, P(A \cap C) = 0.2$. If $P(A \cup B \cup C) = 0.95$, what is the probability that exactly two of the events $A, B,$ and $C$ occur?