Mathematical Justice Crystal Bartels Mathematics Specialist Tucson GEAR UP Project

MathematicMathematical Justiceal Justice

Crystal BartelsCrystal BartelsMathematics SpecialistMathematics Specialist

Tucson GEAR UP Tucson GEAR UP ProjectProject

BackgroundBackground

Corpus Christi, TXCorpus Christi, TX Houston, TXHouston, TX Goldsboro, NCGoldsboro, NC Columbus, MSColumbus, MS Tucson, AZTucson, AZ Spangdahlem, Spangdahlem,

GermanyGermany Tucson, AZTucson, AZ

Education Education

UndergraduateUndergraduate– University of HoustonUniversity of Houston

MastersMasters– Texas A&M UniversityTexas A&M University

Graduate CoursesGraduate Courses– Embry Riddle Embry Riddle

Aeronautical Aeronautical UniversityUniversity

Ph.D. ProgramPh.D. Program– University of ArizonaUniversity of Arizona

Work HistoryWork History

Math CoursesMath Courses

Linear AlgebraLinear Algebra CryptologyCryptology Chaos Theory/ Chaos Theory/

Dynamical Dynamical SystemsSystems

Modern Modern Geometry/TopoloGeometry/Topologygy

http://http://www.butterflystation.net/station/applets/a/spin.htmlhttp://http://www.butterflystation.net/station/applets/a/spin.html

Who Really Wins at the Who Really Wins at the Lottery?Lottery? HistoryHistory

– Created in 1980 as the first lottery west of MississippiCreated in 1980 as the first lottery west of Mississippi– Contributed TWO BILLION for stateside projects and Contributed TWO BILLION for stateside projects and

programsprograms– 140 million alone in profits to the state140 million alone in profits to the state

Indian Reservation GamingIndian Reservation Gaming AZ Daily Star AZ Daily Star reports that reports that $300 million$300 million was generated was generated

by southern AZ’s five casinos in one year. by southern AZ’s five casinos in one year.

Average rate for Native Americans

Average rate for

Poverty 31% 12%Unemployment 14% < 7%Inadequate Housing 40% 6%Graduation 63% 77%Unsafe Drinking Water 8% 1%

Let’s Play a GameLet’s Play a Game

Rules of the Quick Pick 6Rules of the Quick Pick 6– Jackpots start at $1 million and keeps growing until someone wins.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 Let the computer select your numbers for you or choose your own

numbers and mark them on the selection slip. Pick six numbers (1 numbers and mark them on the selection slip. Pick six numbers (1 through 44). through 44).

You can play your numbers for up to 10 consecutive drawing dates on the same ticket.

HOW TO WINHOW 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.

What are the Odds?What are the Odds?

Matching 1 number out of 6Matching 1 number out of 6

1 out of 2.341 out of 2.34


Matching 2 numbers out of 6Matching 2 numbers out of 6

1 out of 6.381 out of 6.38



1 out of 41.841 out of 41.84



1 out of 669.421 out of 669.42



1 out of 30960.751 out of 30960.75


Matching all 6 numbers out of Matching all 6 numbers out of 66

1 out of 7,059,0521 out of 7,059,052

Measurable OddsMeasurable Odds

What does it mean to be 1 out of What does it mean to be 1 out of 7,059,052?7,059,052?

Let this mean one inch out of Let this mean one inch out of 7,059,052 inches. 7,059,052 inches.

How much is this in miles?How much is this in miles?


7,059,052 inches / 12 = 588254.33 feet7,059,052 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 Your odds of winning the jackpot is equivalent to picking the correct INCH out equivalent to picking the correct INCH out of 111.41 MILES.of 111.41 MILES.

Whoa…. No way.Whoa…. No way.

Measurable Measurable OddsOdds

Let’s try seconds. Let’s try seconds.

7059052 seconds/ 60 seconds = 7059052 seconds/ 60 seconds = 117650.86 minutes117650.86 minutes

117650.86 minutes/ 60 minutes = 117650.86 minutes/ 60 minutes = 1960.85 hours1960.85 hours

1960.85 hours/24 hours = 81.70 days1960.85 hours/24 hours = 81.70 days 81.70 days/ 30 days = 2.72 months81.70 days/ 30 days = 2.72 months


If you guess the correct SECOND out of If you guess the correct SECOND out of TWO MONTHS AND 21 DAYS, you TWO MONTHS AND 21 DAYS, you

could win 2.3 million dollars.could win 2.3 million dollars.

Is this worth it?Is this worth it?

What is this telling you?What is this telling you?

Where’s the Justice in Where’s the Justice in Tucson ?Tucson ?

Cost BenefitEconomic 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

Conclusion Conclusion

The lottery may leave the city with The lottery may leave the city with money, but what does it leave behind?money, but what does it leave behind?

Spending on the lottery means you’re Spending on the lottery means you’re not spending on food, clothes, etc. not spending on food, clothes, etc.

Targeting any groups or social classes Targeting any groups or social classes in particular?in particular?

Documents

Mathematical Justice Crystal Bartels Mathematics Specialist Tucson GEAR UP Project