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Maddie and her little brother are coloring. Maddie picks a crayon from the box and then her little 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. Maddie and her little brother are coloring. Maddie picks a crayon from the box and then her little brother picks one.\newlineAre these two events dependent or independent?\newlineChoices:\newline(A) dependent\newline(B) independent
  1. Understand Events: 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.
  2. Analyze Situation: Analyze the situation.\newlineMaddie picks a crayon from the box first, and then her little brother picks one. If Maddie does not replace the crayon she picked, the number of crayons available for her brother to pick from is affected by Maddie's choice, making the events dependent. If Maddie replaces the crayon, then her brother's choice is not affected by her previous pick, making the events independent.
  3. Determine Replacement: Determine if the crayon is replaced or not.\newlineThe problem does not specify whether Maddie replaces the crayon after she picks it. However, typically when picking crayons from a box, one does not replace them. Therefore, we can assume that the crayon is not replaced.
  4. Conclude Dependence: Conclude whether the events are dependent or independent based on the assumption.\newlineSince we are assuming that Maddie does not replace the crayon, her little brother has fewer crayons to choose from, which means the outcome of Maddie's choice affects her brother's choice. Therefore, the events are dependent.

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