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The Sorry State Lottery requires you to select five different numbers from 0 thr

ID: 2929960 • Letter: T

Question

The Sorry State Lottery requires you to select five different numbers from 0 through 55. (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?
_____________

Explanation / Answer

A) P(big winner) = 1 / 56C5 = 1 / 3819816

B) P(small fry winner) = 5C4 / 56C5 = 5 / 3819816

C) P(big winner or small fry winner) = P(big winner) + P(small fry winner)

= 1/3819816 + 5/3819816

= 1/636636

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