When a salesman visits a certain town, he stays in one of three available hotels, H1, H2, H3. Let Ai be the event that he stays in Hotel Hi, for i = 1, 2, 3. If it is known that

find the probability that he stays in Hotel Hi, for i = 1, 2, 3.

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P(A3) P(A UA) 2P(A3) and 3P(A) = 1- 2