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?

Respuesta :

a. To answer this question, directly multiply the probability of those who consume coffee regularly and those who consume carbonated soda.
               P (coffee and carbonated soda) = 0.55 x 0.45 
                                                                  =  0.2475

b. Since there are 705 of them who consume at least one of these two products then, the probability of the randomly selected individual who does not consume at least one of them is equal to 1 - 0.70 = 0.30.