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A 2001 preseason NCAA football poll asked respondents to answer the question; will the Big Ten or the Pac-10 have a team in this year's national championship game, the Rose Bowl? of the 13,429 respondents, 2961 said the Big Ten would, 4494 said the Pac-10 would and 6823 said neither the Big Ten nor the Pac-10 would have a team in the Rose Bowl (August 30, 2001).

a) What is the probability that a respondent said neither the Big Ten nor the Pac-10 would have a team in the Rose Bowl?

b) What is the probability that a respondent said either the Big Ten or the Pac-10 would have a team in the Rose Bowl?

c) Find the probability that a respondent said both the Big Ten and the Pac-10 would have a team in the Rose Bowl.

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