Final answer:
To find the probability that the customer did not order food nor a beverage, multiply the probabilities of not ordering food and not ordering a beverage. The exact probability cannot be determined without the values of P(F) and P(B).
Step-by-step explanation:
To find the probability that the customer did not order food nor a beverage, you need to know the probabilities of ordering food and ordering a beverage separately. Let's assume the probability of ordering food is P(F) and the probability of ordering a beverage is P(B). Since the customer did not order food nor a beverage, it means they didn't order food AND they didn't order a beverage. In probability terms, this can be represented as P(F' and B'). Since food and beverage are mutually exclusive events, the probability of not ordering food AND not ordering a beverage is the probability of not ordering food multiplied by the probability of not ordering a beverage: P(F' and B') = P(F') * P(B').
Since the customer either orders food or doesn't order food, the probability of not ordering food is P(F') = 1 - P(F). Similarly, the probability of not ordering a beverage is P(B') = 1 - P(B). Therefore, the probability of not ordering food nor a beverage is: P(F' and B') = (1 - P(F)) * (1 - P(B)).
If you have the values of P(F) and P(B), you can substitute them into the formula to calculate the probability. The answer choices provided do not include the values of P(F) and P(B), so it is not possible to determine the exact probability.