a purchasing office is to assign a contract for copier paper and another contrac

Question

a purchasing office is to assign a contract for copier paper and another contract for DVD+RWs to any one of the three firms bidding for these contracts (any one firm could receice both contracts.) find the probabilities of the following events.

a. Firm I receives both contracts

b. firm I receives a contract, given that both contracts do not to go the same firm.

c. firm I receives the contract for paper, given that it does not receive the contract for the DVD+RWs

d. what assumptions have you made?

Please explain in great detail and do not copy someone elses answer

Explanation / Answer

Given there are three firms, so the probability that one firm will get a contract is 1/3, so, probability of not getting a contract is 2/3.

(a) Probability that firm I receives both contracts = (1/3)*(1/3) = 1/9.

(b) Probability that firm I will get either one contract is = [(1/3)*(2/3)] + [(2/3)*(1/3)] = (2/9)+(2/9) = 4/9.

(c) Probability that firm I will get contract for paper and not DVD = (1/3)*(2/3) = 2/9.

(d) We have made an assumption that, all the firms have equal probability to get a contract and assigning of paper and DVD to the firms are independent events.

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