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In the town of Niceville, a local lottery is held once a year for the residents. Lottery tickets cost 50 cents apiece. Each lottery ticket contains four numbers, from 1 to 20. The lottery machine will select six numbers from 1 to 20. A winning ticket, worth $100, will contain four of the six numbers chosen by the machine.

a)How much money would a person need to spend to buy every possible combination of four numbers?

b)What is the probability, to the nearest ten-thousandth, that a person will select four correct numbers?

c)To the nearest ten-thousadnth, what is the probability that a ticket has NO correct numbers?

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