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You play 10 rounds of roulette with 1 green, 18 reds, 18 blacks. If you choose green, you may win 3 times of what you

You play 10 rounds of roulette with 1 green, 18 reds, 18 blacks. If you choose green, you may win 3 times of what you bet or lose 3 times of what you bet. For red and black, you may win 1 time of what you bet or lose 1 time of what you bet. You invest $100 and bet 10% of your balance on each color randomly (with the same probability) in every round. What is your average balance after 10 rounds?

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