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In a sweepstakes sponsored by Gemini Paper Products, 200,000 entries have been received. If 1 grand prize is drawn, and 3 first prizes, 20 second prizes, and 500 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following?

a) The grand prize (Round your answer to eight decimal places.)

b) A prize (Round your answer to four decimal places.)

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