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7. The Sorry State Lottery requires you to select five different numbers from 0 through 69....

7. The Sorry State Lottery requires you to select five different numbers from 0 through 69. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.)

What is the probability of being a Big Winner?


What is the probability of being a Small-Fry Winner?


What is the probability that you are either a Big Winner or a Small-Fry Winner?

8. In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different.

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