Survey: 'Will Big Ten or Pac-10 have team in Rose Bowl?'

[gastonj]

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.

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

My answer: 6823/13429 = 0.508

b.) What is the probability that a respondent said either the Big Ten or the Pac-10 will 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.

I believe I got a) right but I need help with b) and c)

I am aware that 2961+4494+6823=14278 but this is the exact problem in the book. maybe some respondents answered two answers???

Thank you!

 

[galactus]

Take note that 4494+2961+6823=14278.

For the 'or': P(A or B)=P(A)+P(B)-P(A and B)

 

[galactus]

I am aware that 2961+4494+6823=14278 but this is the exact problem in the book. maybe some respondents answered two answers???

Yes, the difference are the ones who said both would have teams in the Rose Bowl.

 

[Deleted member 4993]

Or sent back blank response - like I do to some of those silly surveys.