Question 13 • (OC27) MATH COLL LIB ARTS-1207350-S2-Maguire-D'Aquino
Events are independent when the outcome of one does not change the probabilities for the next. Rolling two number cubes, choosing a card and flipping a coin, and flipping the same coin three times are independent because each result does not affect the other results. Drawing a marble and replacing it restores the bag to its original contents, so those draws are independent too. Choosing winners without replacement or keeping a name after drawing it changes who is available, so C and D are dependent.
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