Question: Please solve this question within 2 hours. Please. When drawing cards with replacement and re-shuffling, you bet someone that you can draw an Ace within

Please solve this question within 2 hours. Please.

When drawing cards with replacement and re-shuffling, you bet someone that you can draw an Ace within k draws. You want your chance of winning this bet to be at least 52%. What is the minimum value of k needed? What is the probability that you will need at least ten draws to get 4 Aces?

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