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Compute Probabilities Involving Permutations and Combinations
-To Play the Lottery $1\$ 1

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Compute Probabilities Involving Permutations and Combinations
-To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1\$ 1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?

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Definitions:

Unreasonable Public Disclosure

The act of making public private information about an individual in a way that a reasonable person would find objectionable.

Private Facts

Information about a person that is not public knowledge and that the individual has chosen to keep private; disclosure of such information may lead to legal consequences.

Absolute

Unconditional; complete and without restrictions or limitations.

Conditional

Subject to one or more conditions or requirements being met; not absolute.

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