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A babysitter tells two brothers that she will get each one's favorite candy when she goes to the grocery store. The older brother whispers his preference in the babysitter's ear, and then the younger brother does the same.Are these two events dependent or independent?Choices:(A) dependent(B) independent
Full solution
Q. A babysitter tells two brothers that she will get each one's favorite candy when she goes to the grocery store. The older brother whispers his preference in the babysitter's ear, and then the younger brother does the same.Are these two events dependent or independent?Choices:(A) dependent(B) independent
- Understand Definitions: The first step is to understand the definition of independent and dependent events. Independent events are those where the outcome of one event does not affect the outcome of another event. Dependent events are those where the outcome of one event does affect the outcome of the other event. In this scenario, the older brother's candy preference does not influence the younger brother's preference, and vice versa. Each brother's preference is personal and does not depend on the other's choice.
- Identify Events: Since the older brother's choice does not affect the younger brother's choice, we can conclude that these two events are independent. There is no information given that suggests one brother's choice would change if he knew the other's preference. Therefore, the selection of candy for each brother is made without regard to the other's selection.
