2. Mathematical Justice Crystal Bartels Mathematics Specialist Tucson GEAR UP Project

3. Background Corpus Christi, TX Corpus Christi, TX Houston, TX Houston, TX Goldsboro, NC Goldsboro, NC Columbus, MS Columbus, MS Tucson, AZ Tucson, AZ Spangdahlem, Germany Spangdahlem, Germany Tucson, AZ Tucson, AZ

5. Education Undergraduate Undergraduate –University of Houston Masters Masters –Texas A&M University Graduate Courses Graduate Courses –Embry Riddle Aeronautical University Ph.D. Program Ph.D. Program –University of Arizona

6. Work History

7. Math Courses Linear Algebra Linear Algebra Cryptology Cryptology Chaos Theory/ Dynamical Systems Chaos Theory/ Dynamical Systems Modern Geometry/Topology Modern Geometry/Topology http://http://www.butterflystation.net/station/applets/a/spin.html http://http://www.butterflystation.net/station/applets/a/spin.html

8. Who Really Wins at the Lottery? History History –Created in 1980 as the first lottery west of Mississippi –Contributed TWO BILLION for stateside projects and programs –140 million alone in profits to the state Indian Reservation Gaming Indian Reservation Gaming AZ Daily Star reports that $300 million was generated by southern AZ’s five casinos in one year. AZ Daily Star reports that $300 million was generated by southern AZ’s five casinos in one year. Average rate for Native Americans Average rate for Poverty31%12% Unemployment14%< 7% Inadequate Housing40%6% Graduation63%77% Unsafe Drinking Water8%1%

9. Let’s Play a Game Rules of the Quick Pick 6 Rules of the Quick Pick 6 – Jackpots start at $1 million and keeps growing until someone wins. You have two ways to pick your numbers: –Let the computer select your numbers for you or choose your own numbers and mark them on the selection slip. Pick six numbers (1 through 44). –Let the computer select your numbers for you or choose your own numbers and mark them on the selection slip. Pick six numbers (1 through 44). You can play your numbers for up to 10 consecutive drawing dates on the same ticket. HOW TO WIN HOW TO WIN – –Win a cash prize four ways: match three, four, five or all six of the numbers drawn. – –If other players also match all six numbers, you’ll share the prize pool with them in equal amounts.

10. What are the Odds? Matching 1 number out of 6 1 out of 2.34

11. What are the Odds? Matching 2 numbers out of 6 1 out of 6.38

12. What are the Odds? Matching 3 numbers out of 6 1 out of 41.84

13. What are the Odds? Matching 4 numbers out of 6 1 out of 669.42

14. What are the Odds? Matching 5 numbers out of 6 1 out of 30960.75

15. What are the Odds? Matching all 6 numbers out of 6 1 out of 7,059,052

16. Measurable Odds What does it mean to be 1 out of 7,059,052? What does it mean to be 1 out of 7,059,052? Let this mean one inch out of 7,059,052 inches. Let this mean one inch out of 7,059,052 inches. How much is this in miles? How much is this in miles?

17. Measurable Odds 7,059,052 inches / 12 = 588254.33 feet 7,059,052 inches / 12 = 588254.33 feet 588,254.33 feet/ 5280 feet= 111.41 miles. 588,254.33 feet/ 5280 feet= 111.41 miles. Your odds of winning the jackpot is equivalent to picking the correct INCH out of 111.41 MILES. Your odds of winning the jackpot is equivalent to picking the correct INCH out of 111.41 MILES. Whoa…. No way. Whoa…. No way.

18. Measurable Odds Let’s try seconds. Let’s try seconds. 7059052 seconds/ 60 seconds = 117650.86 minutes 7059052 seconds/ 60 seconds = 117650.86 minutes 117650.86 minutes/ 60 minutes = 1960.85 hours 117650.86 minutes/ 60 minutes = 1960.85 hours 1960.85 hours/24 hours = 81.70 days 1960.85 hours/24 hours = 81.70 days 81.70 days/ 30 days = 2.72 months 81.70 days/ 30 days = 2.72 months

19. Measurable Odds If you guess the correct SECOND out of TWO MONTHS AND 21 DAYS, you could win 2.3 million dollars. Is this worth it?

20. What is this telling you?

21. Where’s the Justice in Tucson ? CostBenefit Economic  Costs of Increased Crime  Competition with existing retail, tourism  Property devaluation  Changes in consumer spending patterns  Job Creation  Revenue Sharing  Increased Tourism  Compensation to local government for public services Social  Increased gambling  Increased alcoholism and substance abuse  Problems resulting from pathological gambling (e.g., physical and mental stress, child neglect, domestic violence, suicide)  Improved health care, education, housing, and public safety on reservation  Job Creation

22. Conclusion The lottery may leave the city with money, but what does it leave behind? The lottery may leave the city with money, but what does it leave behind? Spending on the lottery means you’re not spending on food, clothes, etc. Spending on the lottery means you’re not spending on food, clothes, etc. Targeting any groups or social classes in particular? Targeting any groups or social classes in particular?