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A radio station runs a promotion at an auto show with a money box with 15 $50 tickets, 14 $25 tickets, and 13 $5 tickets.

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A radio station runs a promotion at an auto show with a money box with 15 $50 tickets, 14 $25 tickets, and 13 $5 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. The probability that all three tickets drawn have no money value is Round to four decimal places as needed.)

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