Final answer:
The problem provided lacks sufficient detail to calculate the probability of not choosing chocolate chip or walnut toppings. We need the individual probabilities of choosing each topping or the probability of choosing either topping to use the complement rule.
Step-by-step explanation:
To solve the problem concerning the probability that a customer at a cake shop does not pick chocolate chip or walnut toppings for their brownies, let's first define the events. Let C be the event that the brownie contains chocolate chips, and let N be the event that the brownie contains walnuts.
According to the given problem, we have:
- P(C AND N) = 0.4
Now, we want to find the probability that the customer will pick neither topping, which we denote as P(NEITHER C NOR N).
Since we are not given specific probabilities for P(C) or P(N), but instead P(C AND N), we can make use of the complement rule. The complement rule in probability states that the probability of not occurring an event is equal to 1 minus the probability of the event occurring. Thus:
P(NEITHER C NOR N) = 1 - P(C OR N)
However, since we don't have values for P(C) or P(N) individually, we cannot directly calculate P(C OR N) from the given information. Without these individual probabilities, we are not able to provide an accurate answer to this question. We need additional details regarding either the individual probabilities of choosing chocolate chips or walnuts, or we need to know the probability of choosing either topping to find the probability of choosing neither.
Therefore, given the current information the problem lacks sufficient detail to reach a definitive answer.