Question

Let A and B be two events. Suppose the probability that A and B occurs is 2/3. What is the probability that one or both occurs?

Answer 1

Step-by-step explanation:

There are only four possibilities: A occurs or doesn’t, B occurs or doesn’t. The four combinations have four probabilities, summing to 1. Of these four, “neither A nor B” takes up 2/3, so the remaining three possibilities “just A, just B, both A and B” have a cumulative probability of 1/3. Note this statement makes no reference to the independence of A and B, for all we know A and B may be the actual same event. That would make “just A” and “just B” probability zero, but the third option, “both”, will have probability 1/3.

Answer 2

Answer:

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