# Win, Lose, or Draw

Author(s): Karen Holmes

Win, Lose, or Draw is a non-algebra based math course that fulfills a general education mathematics requirement. The class structure is discovery-based with students working in groups rather than lecture-dependent, appealing to students for whom math is not a strength.

The theme of the course involves games and the mathematics behind them with an emphasis on understanding concepts as opposed to memorizing formulas. Topics include logic, sets, combinatorics, probability, and expectation. This workbook is the only book students need for the class and contains group work, notes, reviews for tests, and a final review with answers provided.

TEST 1 LOGIC, SETS, AND COMBINATORICS
Group #1 The Games We Play
Group #2 Paper Games
Group #3 LSAT Practice
Group #4 Logic Puzzles
Group #5 More Logic Puzzles
Group #6 Sudoku Puzzles
SETS and VENN DIAGRAM NOTES
Group #7 Deck of Cards and Set Operations
Group #8 Venn Diagrams
Group #9 More Venn Diagrams
Group #10 Is Order Important?
INTRO TO COMBINATORICS NOTES
Group #11 Poker Chips
PERMUTATIONS AND COMBINATIONS NOTES
Group #12 Is Order Important? II Crunching the Numbers
Group #13 Poker Hands and Combinations
Group #14 Volleyball Tournaments
REVIEW PROBLEMS FOR TEST 1

TEST 2 PROBABILITY
INTRO TO PROBABILITY NOTES
Group #15 The Monty Hall Problem Let’s Make a Deal
Group #16 Slot Machines
Group #17 Dice Games: Risk and Craps
MORE PROBABILITY NOTES
Group #18 Roulette: What are the Odds?
Group #19 Bayes Theorem
Group #20 Poker Hands
Group #21 Probabilities of Poker
Group #22 Pinochle Poker
Group #23 Keno and Lotteries
Group #24 Expectation and Lotteries
Group #25 Roulette and Expected Value
Group #26 Blackjack: A Lesson in Counting Cards
REVIEW PROBLEMS FOR TEST 2
Optional Group: Coins and Spoof

FINAL REVIEW TOPICS and PROBLEMS
REFERENCES

Karen Holmes

Win, Lose, or Draw is a non-algebra based math course that fulfills a general education mathematics requirement. The class structure is discovery-based with students working in groups rather than lecture-dependent, appealing to students for whom math is not a strength.

The theme of the course involves games and the mathematics behind them with an emphasis on understanding concepts as opposed to memorizing formulas. Topics include logic, sets, combinatorics, probability, and expectation. This workbook is the only book students need for the class and contains group work, notes, reviews for tests, and a final review with answers provided.

TEST 1 LOGIC, SETS, AND COMBINATORICS
Group #1 The Games We Play
Group #2 Paper Games
Group #3 LSAT Practice
Group #4 Logic Puzzles
Group #5 More Logic Puzzles
Group #6 Sudoku Puzzles
SETS and VENN DIAGRAM NOTES
Group #7 Deck of Cards and Set Operations
Group #8 Venn Diagrams
Group #9 More Venn Diagrams
Group #10 Is Order Important?
INTRO TO COMBINATORICS NOTES
Group #11 Poker Chips
PERMUTATIONS AND COMBINATIONS NOTES
Group #12 Is Order Important? II Crunching the Numbers
Group #13 Poker Hands and Combinations
Group #14 Volleyball Tournaments
REVIEW PROBLEMS FOR TEST 1

TEST 2 PROBABILITY
INTRO TO PROBABILITY NOTES
Group #15 The Monty Hall Problem Let’s Make a Deal
Group #16 Slot Machines
Group #17 Dice Games: Risk and Craps
MORE PROBABILITY NOTES
Group #18 Roulette: What are the Odds?
Group #19 Bayes Theorem
Group #20 Poker Hands
Group #21 Probabilities of Poker
Group #22 Pinochle Poker
Group #23 Keno and Lotteries
Group #24 Expectation and Lotteries
Group #25 Roulette and Expected Value
Group #26 Blackjack: A Lesson in Counting Cards
REVIEW PROBLEMS FOR TEST 2
Optional Group: Coins and Spoof

FINAL REVIEW TOPICS and PROBLEMS