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Classic Colonials has made a bid to build two houses. Don, the owner of the company, anticipates that
• the probability Classic Colonials wins the bid on the first house (event F) is $0.95$.
• the probability Classic Colonials wins the bid on the second house (event S) is $0.90$
• the probability Classic Colonials wins the bid on both houses (event(F and S)) is $0.80$

If Don’s probabilities are correct, which of the following statements must be true about events F and S.

A

Event F and event S are not mutually exclusive and are independent.

B

Event F and event S are not mutually exclusive and are not independent.

C

Event F and event S are mutually exclusive and are not independent.

D

Event F and event S are mutually exclusive and are independent.

E

Mutually exclusive and independence of events F and S cannot be determined with the information given.

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