Calculating the probability of getting three aces in a hand of five cards dealt from a deck of 52 cards would require the use of a hypergeometric distribution.

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The hypergeometric distribution is used to calculate the probability of getting a certain number of successes in a fixed number of draws without replacement from a finite population. In this case, we want to calculate the probability of getting three aces in a hand of five cards, which involves drawing without replacement from a finite population (the remaining 49 cards after the aces are removed). Therefore, the hypergeometric distribution is the appropriate probability distribution to use.

Calculating the Probability of Getting Three Aces in a Hand