Before the proliferation of legal lotteries, illegal numbers games were commonly run by members of organized crime

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Before the proliferation of legal lotteries, illegal numbers games were commonly run by members of organized crime groups. In the typical numbers game, bettors would win by selecting the same three digits that were later drawn in the same order. A common payoff was \($600\) for a winning \($1\) bet. Find the probability of winning with a bet in such a numbers game.

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