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Suppose now that the aerospace company in question (3) feels that it has a 35% chance of winning contract C and a 65% chance of

Suppose now that the aerospace company in question (3) feels that it has a 35% chance

of winning contract C and a 65% chance of winning contract D. Given that it wins

contract D, the company believes that it has an 40% chance of winning contract C.

(a) Are the events winning contract C and winning contract D independent?

(b) What is the probability that the company will win neither the C nor the D

contract?

(c) What is the probability that the company will win at least one of the C or D

contracts?

(d) If the company wins contract C, what is the probability that it will win contract

D?

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