# Probability : Permutations and Probability Distributions

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1. You dream of someday winning the lottery (don't we all). You found out about a new lottery where the winning numbers are five different numbers between 1 and 34 inclusive. To win the lottery, you must select the correct 5 numbers in the same order in which they were drawn. According to your calculations, the probability of winning are:

a. 1/33,390,720

b. 1/120

c. 120/33,390,720

d. 1/34!

2. If a person is randomly selected from your home town, the probability distribution for the number x, of siblings is as described in the following table: Is this a probability distribution? Please state the reason for your answer (the requirement that was met or not met) (Hint: The answer I am looking for has to do with the sum of the numbers)

X P(x)

0 0.24

1 0.29

2 0.24

3 0.12

4 0.06

5 0.03

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Permutuations and Probability Distributions are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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