Barrel problem

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A man claims to have a divining rod which locates hidden sources of oil. The Caltech Geology
Department conducts the following experiment to test his claim. He is taken into a room.in
which there are 10 sealed barrels. He is told that five of them contain oil and five contain
water. His task is to decide which of the five contain oil and which do not.
a. What is the probability that he locates the five oil barrels correctly just by chance?
b. What is the probability that he locates at least three of the oil barrels correctly by chance?

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