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Vincent's family just bought a variety pack of cereal that contains one serving of each type of cereal. Vincent picks a cereal to have for breakfast, and then his brother picks one.\newlineAre these two events dependent or independent?\newlineChoices:\newline(A) dependent\newline(B) independent

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Identify independent and dependent eventsright chevron icon

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Q. Vincent's family just bought a variety pack of cereal that contains one serving of each type of cereal. Vincent picks a cereal to have for breakfast, and then his brother picks one.\newlineAre these two events dependent or independent?\newlineChoices:\newline(A) dependent\newline(B) independent
  1. Understand Definitions: To determine whether the events are dependent or independent, we need to understand the definitions of these terms. 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 another event. Since the variety pack contains one serving of each type of cereal, once Vincent picks a cereal, that type of cereal is no longer available for his brother to pick. This means that Vincent's choice affects his brother's choice.
  2. Cereal Variety Pack: Since Vincent's choice affects what choices are available for his brother, the two events are dependent. The outcome of the first event (Vincent's choice) influences the outcome of the second event (his brother's choice).

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