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
What are the Odds?What are the Odds?
Matching 2 numbers out of 6Matching 2 numbers out of 6
1 out of 6.381 out of 6.38
What are the Odds?What are the Odds?
Matching 3 numbers out of 6Matching 3 numbers out of 6
1 out of 41.841 out of 41.84
What are the Odds?What are the Odds?
Matching 4 numbers out of 6Matching 4 numbers out of 6
1 out of 669.421 out of 669.42
What are the Odds?What are the Odds?
Matching 5 numbers out of 6Matching 5 numbers out of 6
1 out of 30960.751 out of 30960.75
What are the Odds?What are the Odds?
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?
Measurable OddsMeasurable Odds
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
Measurable OddsMeasurable Odds
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?