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Instructions:Lottery games are very popular, but what are the actual probabilities that a ticket purchased is going to win? Calculate the probability of winning some of the more popular games.

A game that draws 3 digits from 0-9 from three separate machines.

o What is the probability of winning a straight bet by matching the three digits in the exact order?

o What is the probability of winning a box bet by matching the three digits in any order?

o What is the probability of not matching any numbers on a ticket?

A game that draws 4 digits from 0-9 from four separate machines.

o What is the probability of winning a straight bet by matching the four digits in the exact order?

o What is the probability of winning a box bet by matching the four digits in any order?

o What is the probability of not matching any numbers on a ticket?

A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and not replaced.

o What is the probability of winning the jackpot by matching all 5 numbers?

o What is the probability of winning a major prize by matching 4 of the 5 numbers? Make the calculation assuming the first 4 values are matched and the fifth one does not.

o What is the probability of not matching any numbers on a ticket?

A super-mega-jackpot game that draws 6 numbers from 1 70 from a single machine and then a Super-Mega-Match ball numbered 1 30 from a separate machine.

o What is the probability of winning the Super-Mega jackpot by matching all six numbers and the Super-Mega-Match ball?

o What is the probability of winning the jackpot by matching all six numbers, but not matching the Super-Mega-Match ball?

o What is the probability of not matching any numbers on a ticket.

State run lottery games tend to pay out 50% of what the odds against winning are, rounded up. For instance, if the odds against winning in a game are 499 : 1, the lottery game will pay $250 for a winning $1 ticket. This is how the lottery raises money for the state. Complete the table below with predicted payout values for winning $1 bets using this formula.

3-Digit Drawing4-Digit Drawing5-Number DrawingSuper-Mega DrawingStraight win:Straight win:Match 5:Super-Mega JacpotBoxed win:Boxed win: Match 4:Jackpot:

Show all work and express the probabilities as both fractions and decimal values. Use scientific notation where appropriate.

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Excellent Quality95-100%

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The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

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The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

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Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.

Average Score50-85%

40-38 points

More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.

83-76 points

Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.

52-49 points

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75-1 points

Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.

48-1 points

There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met

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