Win, Lose, or Draw

Author(s): Karen Holmes

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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 Sudoku Puzzles 
Group 6 More Logic 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 
Group 15 The Monty Hall Problem Let’s Make a Deal 
INTRO TO PROBABILITY NOTES 
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

FINAL REVIEW TOPICS and PROBLEMS 
ANSWERS 
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 Sudoku Puzzles 
Group 6 More Logic 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 
Group 15 The Monty Hall Problem Let’s Make a Deal 
INTRO TO PROBABILITY NOTES 
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

FINAL REVIEW TOPICS and PROBLEMS 
ANSWERS 
REFERENCES

Karen Holmes