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Five engineering firms (F, F2, F3, F4, Fs) are bidding for three separate city contracts (C, C2, C3). (a) Suppose the city randomly assigns

Five engineering firms (F, F2, F3, F4, Fs) are bidding for three separate city contracts (C, C2, C3). (a) Suppose the city randomly assigns contracts to the firms, allowing a firm to get multiple contracts. Find the probability that firm F obtains exactly one contract. (b) Suppose the city randomly assigns contracts to the firms, but this time without allowing a firm to get multiple contracts. Find the probability that the firm F gets the first contract C.

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