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Rosanne picks a marble at random, puts it back, and then picks another marble at random.\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. Rosanne picks a marble at random, puts it back, and then picks another marble at random.\newlineAre these two events dependent or independent?\newlineChoices:\newline(A) dependent\newline(B) independent
  1. Understand Definitions: Understand the definition of independent and dependent events.\newlineIndependent 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.
  2. Analyze Situation: Analyze the given situation.\newlineSince Rosanne picks a marble, puts it back, and then picks another marble, the outcome of the first pick does not affect the outcome of the second pick. This is because after the first marble is picked and put back, the sample space for the second pick remains the same as it was for the first pick.
  3. Determine Event Type: Determine whether the events are dependent or independent based on the analysis.\newlineThe events are independent because the outcome of picking the first marble does not change the probability of picking any marble in the second event.

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