Problem

Some parking meters in Milan, Italy, accept coins in the denominations of 20¢, 50¢, and...

Some parking meters in Milan, Italy, accept coins in the denominations of 20¢, 50¢, and €2. As an incentive program, the city administrators offer a big reward (a brand new Ferrari Testarossa) to any meter maid who brings back exactly 1,000 coins worth exactly €1,000 from the daily rounds. What are the odds of this reward being claimed anytime soon?

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