Let me present you with a game. It's a gambling game. The rules are pretty straightforward:

1. You begin the game with 10 US dollars

2. Every round, you may wager any of your current US dollars

3. After you have wagered, we toss a fair coin, which leads to one of two outcomes:
a. Heads - You lose your wager
b. Tails - You get your wager back AND win 200% of your wager's value

4. You have 100 rounds in which to maximise your profits as much as possible

5. It should go without saying, but if you ever end a round with 0 US dollars, you've lost

The game is obviously in your favour, but provide a betting strategy which uses these rules to win as many US dollars as possible.

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## Molly Mae

Let me present you with a game. It's a gambling game. The rules are pretty straightforward:

1. You begin the game with 10 US dollars

2. Every round, you may wager any of your current US dollars

3. After you have wagered, we toss a fair coin, which leads to one of two outcomes:

a. Heads - You lose your wager

b. Tails - You get your wager back AND win 200% of your wager's value

4. You have 100 rounds in which to maximise your profits as much as possible

5. It should go without saying, but if you ever end a round with 0 US dollars, you've lost

The game is obviously in your favour, but provide a betting strategy which uses these rules to win as many US dollars as possible.

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