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# How would you bet?

Let's say that you own a biased coin that will land heads up with probability $$1 > p > \frac{1}{2}$$. You find someone who is willing you to offer you even odds that heads will turn up. They are also willing to bet as many times as you want.

Assume that you start off with $1000. Clearly, you would stand to gain a lot of money by betting on heads. 1. How would you maximize the final amount of money that you have? 2. If you want to reach$10000 as quickly as possible, how would you do that?