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A farmer came to the Water Resources Laboratory of the University of Waterloo. The farmer brought a carved whalebone with which he claimed that he could locate hidden sources of water. The following experiment was conducted to test the farmers claim. He was taken into a room in which there were 10 covered cans. He was told that 5 of the 10 cans contained water and 5 were empty. The farmers task was to divide the cans into two equal groups, 1 group containing all the cans with water, the other containing those without water What is the probability that the farmer correctly put at least 3 cans into the water group just by chance?
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