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In Georgetown, the weather on any day is dry with probability 2/3 and wet with probability 1/3 , the weather on different days being independent.

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In Georgetown, the weather on any day is dry with probability 2/3 and wet with probability 1/3 , the weather on different days being independent. (a) Find the probability that the next three days are dry. (b) Find the probability that exactly two of the next three days are wet. (c) A Georgetown resident walks his dog with probability 0.9 when it is dry but with probability 0.6 when it is wet. If it is known that he walked his dog last Monday, what is the probability that last Monday was dry in Georgetown

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