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

a.

Prob(Firm I receives both contracts) = 1/3*1/3 = 1/9

b.

P( firm I receives a contract | both contracts do not to go the same firm)

= P( firm I receives a contract AND both contracts do not to go the same firm)/P(both contracts do not to go the same firm)

= 4/6 = 2/3

c.

P = 2/6 = 1/3

d.

1. All the firms have equal probability to get a contract and assigning of paper

2. DVD to the firms are independent events

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