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A radio station runs a promotion at an auto show with a money box with 10 $50 tickets, 15 $25 tickets, and 12 $5 tickets.

A radio station runs a promotion at an auto show with a money box with 10 $50 tickets, 15 $25 tickets, and 12 $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.

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