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Question
brett picks a card at random from a deck. then he picks a second card at random without putting the first card back.
are these two events dependent or independent?
dependent independent
Two events are independent if the occurrence of one doesn't affect the probability of the other. Here, Brett doesn't put the first card back, so the total number of cards and the composition of the deck (e.g., number of each suit, rank) change for the second draw. This means the probability of the second event (drawing the second card) is affected by the first event (drawing the first card). So the events are dependent.
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dependent