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A game costs $5 per play. Six numbers, chosen from 0 to 99 without repetition, are written on a card and placed in a box.

A game costs $5 per play. Six numbers, chosen from 0 to 99 without repetition, are written on a card and placed in a box. A contestant who can guess the six numbers will win $1 000 000. Is this a fair prize? Provide calculations to support your answer.

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