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The 300 residents of Gator Hollow, Florida, are choosing their cable provider.Whichever company gets the most customers can use that information to significant advantage in

The 300 residents of Gator Hollow, Florida, are choosing their cable provider.Whichever company gets the most customers can use that information to significant advantage in their local advertising.The three cable providers are BC&C, Horizon and Frugool.This being a small town, the competition is fierce:

  • 140 of the residents plan to choose BC&C.

  • 10 of the residents plan to choose Horizon.

  • 150 of the residents are considering Frugool. Of these, 130 are sure to choose Frugool. The remaining 20 are also strongly considering Horizon. They each have an equal and independent 40 percent chance of selecting Horizon over Frugool.

a)What is the probability that BC&C will win the competition?

b)What is the probability that Frugool will win the competition?

c)What is the probability that the election results in a dead-heat (a tie) between BC&C and Frugool?

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