Answered

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3: A card is drawn from a well-shuffled deck of cards and then returned to the deck, which is then shuffled again. A count of the number of times a card is selected until an ace is drawn is best modeled by which distribution?

3 A Card Is Drawn From A Wellshuffled Deck Of Cards And Then Returned To The Deck Which Is Then Shuffled Again A Count Of The Number Of Times A Card Is Selected class=

Sagot :

Given that:

- A card is drawn from a well-shuffled deck.

- The card is then returned to the deck and then the deck is shuffled again.

- An ace is drawn from the deck after "n" times a card is selected.

By definition, a Geometric Distribution provides the probability that the first event occurs after "n" trials that are independent of each other. The probability of success in each trial is always the same.

In this case, "n" number of times a card is selected until an ace is drawn from the deck. And each trial has the same probability of success. Therefore, it is modeled by a Geometric Distribution.

Hence, the answer is: Option C.

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