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(20) The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing...

(20) The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63. Choosing 3 numbers correctly nets a $10 prize, choosing 4 numbers grants a $50 prize, and choosing 5 numbers correctly gives a $5,000 prize. If the Lottery expects to precisely break even selling $1 tickets, how much should its prize for getting all 6 numbers correct be?

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