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If two cards are drawn one after another with replacement, how many times is there the probability of getting both face cards more than the probability of getting both ace cards?​

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Answer:

Step-by-step explanation:


To calculate the probability of getting both face cards or both ace cards, we need to determine the individual probabilities of drawing a face card and an ace card on each draw. Let's break down the problem into steps: Step 1: Calculate the probability of drawing a face card. In a standard deck of 52 cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks). So, the probability of drawing a face card on the first draw is 12/52. Step 2: Calculate the probability of drawing an ace card. In a standard deck of 52 cards, there are 4 ace cards. So, the probability of drawing an ace card on the first draw is 4/52. Step 3: Calculate the probability of getting both face cards. Since the cards are drawn with replacement, the probability of getting a face card on each draw is independent. To calculate the probability of both events happening, we multiply the probabilities together. So, the probability of getting both face cards is (12/52) * (12/52). Step 4: Calculate the probability of getting both ace cards. Similarly, the probability of getting both ace cards is (4/52) * (4/52). Step 5: Compare the probabilities. To determine how many times the probability of getting both face cards is more than the probability of getting both ace cards, we need to compare the two probabilities. If we calculate the actual values of both probabilities, we can compare them to see which is greater. However, without the specific values, we cannot determine how many times one probability is greater than the other. Therefore, to provide a clear and concise answer, we would need the specific values of the probabilities to compare them accurately.

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