14. Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at least one of these two products.

a. What is the probability that a randomly selected adult regularly consumes both coffee and soda?

b. What is the probability that a randomly selected adult doesn’t regularly consume at least one of these two products?

(Ar1

¨ Ar2 ) ´ A3 Ar1

¨ Ar2 ¨ A3 Ar1 A1 ´ A2 ´ A3 ¨ Ar2 ¨ Ar3

(A1 ´ A2)r 5 Ar1

¨ Ar2 Ar1

¨ Ar2 A1 ´ A2 P(A1 ¨ A2 ¨ A3) 5 .01 P(A2 ¨ A3P(A1 ¨ A3 ) 5 .07 P(A1 ¨ A2 ) 5 .05 ) 5 .11 P(A3P(A2 ) 5 .28 P(A1 ) 5 .25 ) 5 .22 A i 5 1, 2, 3 i 5 5awarded project i6 A ´ B