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Question
jaxon has a bag of marbles. he draws one marble from the bag. before drawing another marble from the bag, what could jaxon do to ensure that the events are independent of each other?
- keep the marble he initially drew from the bag
- return the marble he initially drew from the bag
- add more marbles to the bag
- remove all marbles that are the same color as the first one
Two events are independent if the outcome of the first does not affect the probability of the second. Returning the first marble restores the original bag conditions, so the probability of the second draw is unchanged by the first draw. Keeping the marble, adding marbles, or removing same-color marbles all alter the bag's composition, making the second draw dependent on the first.
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return the marble he initially drew from the bag