Probability

Your task is to pick a lottery game.
Describe the lottery and what it takes to win the lottery game. How many numbers are involved? How many numbers have to be selected to win? Is there a special number that is included? Are there any alternative prizes for having just some of the correct numbers?

Determine the number of elements in the sample space for the lottery? (Hint: How many different permutations/combinations of numbers are there). Make sure you show your work.

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Now we will look at the real probability of winning the lottery you selected. Determine the probability of winning the grand prize associated with the lottery you selected. Does this agree with that reported by the website?

Hopefully, in this little exercise, you discovered your real chances of winning the selected lottery. Were you surprised? Why do you think promoters of the lottery discuss the odds of winning the lottery versus the probability of winning the lottery? Is there any reason why they would want to do it any other way? Formulate a paragraph (articulating your thoughts) about Ethics? Fraud? Addiction?

Once you have completed (be sure to show your calculations), give your final answer in the following format:

1. Lottery Description (what it take to win):
2. Elements in Sample Space:
3. Probability of Winning Grand Prizebcq:
4. Opinion/Ethics of Lottery:

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