Question

Suppose that 65% of all adults regularly consume coffee, 60% regularly consume carbonated soda, and 75% 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?

Answer 1

Answer: Our required probability is 50%.

Step-by-step explanation:

Since we have given that

Probability of consuming regularly coffee = 65%

Probability of consuming carbonated soda = 60%

Probability of consuming atleast one of these two products =75%

So, we need to find the probability that they consumes both coffee and soda.

So, using "Probability rules", we get that

$P(C\cap S)=P(S)+P(C)-P(C\cup S)\\\\0.75=0.65+0.60-x\\\\0.75=1.25-x\\\\0.75-1.25=-x\\\\-0.5=-x\\\\x=50\%$

Hence, our required probability is 50%.