What is the probability of drawing exactly 3 ace from randomly drawing 4 cards from a deck of cards?

To find the probability of drawing exactly 3 aces when drawing 4 cards from a standard deck of 52 cards, we can use the hypergeometric distribution. There are 4 aces in the deck and 48 non-aces. The number of ways to choose 3 aces from the 4 available is ( \binom{4}{3} = 4 ), and the number of ways to choose 1 non-ace from the 48 is ( \binom{48}{1} = 48 ). The total ways to choose any 4 cards from the 52 is ( \binom{52}{4} = 270725 ). Thus, the probability is ( \frac{4 \times 48}{270725} \approx 0.00071068 ) or about 0.071%.