Final answer:
The probability of a person not being a child whose favorite drink is fruit juice can be found using 1-P(Child and Fruit juice).
Step-by-step explanation:
The probability that a person is not a child whose favorite drink is fruit juice can be found using option b) 1−P(Child and Fruit juice).
To calculate this probability, we first need to find the probability of a person being a child and preferring fruit juice. Let's assume that P(Child) represents the probability of selecting a child and P(Fruit juice) represents the probability of selecting a person who prefers fruit juice.
So, P(Child and Fruit juice) = P(Child) × P(Fruit juice).
Finally, we can use the formula 1 - P(Child and Fruit juice) to find the probability that a person is not a child whose favorite drink is fruit juice.