A man is playing roulette and is playing bets on the red color. Assume that the roulette has half of its numbers red and the other black. The man will place a $10 bet on red. If he loses, he puts $30 again on red. If he loses again, he places $90 and so on. Every time he loses he triples the amount and bet on red again. If he wins he stops. What is the probability he will lose more than a $1,000?
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