If we know that event B occurs, the probability of A occurring is 0.5
By definition, the probability of A if B occurs,
P(A | B) = P(A and B)/P(B).
So if P(A | B) = 0.5, then
P(A and B) = 0.5*P(B).
Also, P(A u B), the same as P(A or B) is equal to
P(A) + P(B) - P(A and B) = P(A) + P(B) - 0.5*P(B) = P(A) + 0.5*P(B).
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