Suppose that 55% of all adults regularly consume coffee, 45% regularly consume c

Question

Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 85% regularly consume at least one of the these two products. What is the probability that a randomly Selected adult has a particular preference regularly; that is , he or she only consumes either coffee or soda, but not bothh? What is the probability that a randomly Selected adult does not regularly consume at least one of these two products? What is the probability that a randomly Selected adult neither consumes coffee nor soda regularly? Hint Draw the venn diagram to see what is

Explanation / Answer

let P(A)=adults regularly consume coffee=0.55

P(B)=adults regularly consume carbonated soda=0.45

P(AUB)=0.85

a)probability that they consume both=P(A?B)=P(A)+P(B)-P(AUB)=0.15

B)P(AUB) -P(A?B)=0.85-0.15=0.7

C)1-P(AUB)=1-0.85=0.15

D)1-P(A?B)=1-0.15=0.85

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