The French national lottery works as follows. Six numbers from the range 0 to 49 are chosen

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The French national lottery works as follows. Six numbers from the range 0 to 49 are chosen at random. If you have correctly guessed all six you win the first prize. What are your chances of winning if you are only allowed to choose six numbers? A single entry like this costs one euro. For 210 euros you can choose ten numbers and you win if the six selected numbers are among them. Is this better value than the single entry?

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