Final answer:
Two events A and B are mutually exclusive if the probability that they both happen at the same time is zero. To determine if the events 'a model was chosen' and 'a product was chosen' are mutually exclusive, we need to consider if it is possible for both events to occur simultaneously.
Step-by-step explanation:
Two events A and B are mutually exclusive if the probability that they both happen at the same time is zero. In other words, if events A and B are mutually exclusive, then P(A AND B) = 0. To determine if the events 'a model was chosen' and 'a product was chosen' are mutually exclusive, we need to consider if it is possible for both events to occur simultaneously. If it is possible for a model to be chosen as well as a product, then these events are not mutually exclusive. However, if it is not possible for both events to occur at the same time, then these events are mutually exclusive. For example, if the event 'a model was chosen' refers to a specific type or category of product, and the event 'a product was chosen' refers to any product regardless of its model, then it is possible for both events to occur simultaneously, and therefore the events are not mutually exclusive.