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A group of friends is drawing names for a gift exchange. Mitch chooses, and then Emilio selects next.\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. A group of friends is drawing names for a gift exchange. Mitch chooses, and then Emilio selects next.\newlineAre these two events dependent or independent?\newlineChoices:\newline(A) dependent\newline(B) independent
  1. Define Independent and Dependent Events: First, let's define what dependent and independent events are in probability. Independent events are those where the outcome of one event does not affect the outcome of another. Dependent events are those where the outcome of one event does affect the outcome of the other event. In the context of drawing names for a gift exchange, once Mitch chooses a name, that name is no longer available for Emilio to choose. This means that the outcome of Mitch's choice affects the outcome of Emilio's choice.
  2. Impact of Mitch's Choice: Since the pool of names is reduced by one after Mitch's choice, the probability of Emilio drawing any particular name is changed. Therefore, the events are dependent because the first event (Mitch choosing) affects the probability of the second event (Emilio selecting).

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