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Question 660:



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For a binomial experiment, each selection must be an independent event. Since the cards aren't replaced, the size of the deck gets smaller. As the deck gets smaller, the remaining cards have a greater chance of being selected.


With replacing the cards, now the selections are independent since the deck returns to the same set of cards before each draw. One of the conditions of a binomial is that each draw from a deck is independent, assuming it is replaced and another draw is made.

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