Five engineering firms (F, F2, F3, F4, Fs) are bidding for three separate city contracts (C,...
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Five engineering firms (F₁, F2, F3, F4, Fs) are bidding for three separate city contracts (C₁, C2, C3). (a) Suppose the city randomly assigns contracts to the firms, allowing a firm to get multiple contracts. Find the probability that firm F₁ 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 F₁ gets the first contract C₁. Five engineering firms (F₁, F2, F3, F4, Fs) are bidding for three separate city contracts (C₁, C2, C3). (a) Suppose the city randomly assigns contracts to the firms, allowing a firm to get multiple contracts. Find the probability that firm F₁ 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 F₁ gets the first contract C₁.
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