Math Puzzles Volume 2: More Riddles And Brain Teasers In Counting, Geometry, Probability, And Game Theory

✍ Scribed by Presh Talwalkar

• Publisher: CreateSpace Independent Publishing Platform
• Year: 2015
• Tongue: English
• Leaves: 240
• Category: Library

✦ Synopsis

What is a better fit: a square peg in a round hole, or a round peg in a square hole?Your music player seems to be playing the same songs over again. Is there something wrong with the shuffle feature, or might the songs be playing randomly?You have 100 dimes, and I have 99 pennies. At the same time, we will toss our coins in the air and let them fall on the floor. Then we meticulously count the outcomes of our tosses. You win if you show more heads than I do. What’s the probability that you will win?The YouTube channel and blog Mind Your Decisions has blog posts and original videos about math that have been viewed millions of times. The problems in this book are based on some of the best puzzles in counting, geometry, and probability and game theory.

✦ Table of Contents

Section I: Counting
Section II: Geometry
Section III: Probability And Game Theory
Puzzle 1: 3 Lamps
Answer To Puzzle 1: 3 Lamps
Puzzle 2: Famous Logic Puzzle
Answer To Puzzle 2: Famous Logic Puzzle
Puzzle 3: Lost Money To A Buyer
Answer To Puzzle 3: Lost Money To A Buyer
Puzzle 4: A Friend Puzzle
Answer To Puzzle 4: A Friend Puzzle
Puzzle 5: Family Crossing A River
Answer To Puzzle 5: Family Crossing A River
Puzzle 6: Losing Weight
Answer To Puzzle 6: Losing Weight
Puzzle 7: Writing Thank-You Notes
Answer To Puzzle 7: Writing Thank-You Notes
Puzzle 8: Three Runners
Answer To Puzzle 8: Three Runners
Puzzle 9: Splitting A Shared Ride
Answer To Puzzle 9: Splitting A Shared Ride
Puzzle 10: Average Speed
Answer To Puzzle 10: Average Speed
Puzzle 11: How Far Did I Jog?
Answer To Puzzle 11: How Far Did I Jog?
Puzzle 12: College Football Title
Answer To Puzzle 12: College Football Title
Puzzle 13: Pairs Of Cards
Answer To Puzzle 13: Pairs Of Cards
Puzzle 14: Ways To Eat A Chocolate Bar
Answer To Puzzle 14: Ways To Eat A Chocolate Bar
Puzzle 15: Flights Around The Country
Answer To Puzzle 15: Flights Around The Country
Puzzle 16: Order Of Eating Courses
Puzzle 16: Answer To Order Of Eating Courses
Puzzle 17: Hot Sauce
Answer To Puzzle 17: Hot Sauce
Puzzle 18: Wardrobe Choices
Answer To Puzzle 18: Wardrobe Choices
Puzzle 19: Wedding Seating Arrangement
Answer To Puzzle 19: Wedding Seating Arrangement
Puzzle 20: A Fun Baseball Inequality
Answer To Puzzle 20: A Fun Baseball Inequality
Puzzle 21: 12 Balls, 3 Weighings
Answer To Puzzle 21: 12 Balls, 3 Weighings
Puzzle 22: Guessing A “Lost” Number Mathemagic
Answer To Puzzle 22: Guessing A “Lost” Number Mathemagic
Puzzle 23: Piles Of Coins
Answer To Puzzle 23: Piles Of Coins
Puzzle 24: Piles Of Coins (Continuous Version)
Answer To Puzzle 24: Piles Of Coins (Continuous Version)
Puzzle 25: A Fun Math Sequence
Answer To Puzzle 25: A Fun Math Sequence
Puzzle 1: Make A Rectangle
Answer To Puzzle 1: Make A Rectangle
Puzzle 2: Clock Division
Answer To Puzzle 2: Clock Division
Puzzle 3: Fitting A Square Peg In A Round Hole
Answer To Puzzle 3: Fitting A Square Peg In A Round Hole
Puzzle 4: Inscribed Rectangle
Answer To Puzzle 4: Inscribed Rectangle
Puzzle 5: Infinitely Many Inscribed Circles
Answer To Puzzle 5: Infinitely Many Inscribed Circles
Puzzle 6: The Efficient Drink Order
Answer To Puzzle 6: The Efficient Drink Order
Puzzle 7: Circle Length
Answer To Puzzle 7: Circle Length
Puzzle 8: Length Of A Spiral
Answer To Puzzle 8: Length Of A Spiral
Puzzle 9: Ant Cylinder
Answer To Puzzle 9: Ant Cylinder
Puzzle 10: How Many Faces?
Answer To Puzzle 10: How Many Faces?
Puzzle 11: Circle Rotation
Answer To Puzzle 11: Circle Rotation
Puzzle 12: Non-Overlapping Triangles
Answer To Puzzle 12: Non-Overlapping Triangles
Puzzle 13: How Many Partners?
Answer To Puzzle 13: How Many Partners?
Puzzle 14: Crossed Ladders
Answer To Puzzle 14: Crossed Ladders
Puzzle 15: Fruit Label Stickers
Answer To Puzzle 15: Fruit Label Stickers
Puzzle 16: Castle Height
Answer To Puzzle 16: Castle Height
Puzzle 17: Bumper Cars On A Square
Answer To Puzzle 17: Bumper Cars On A Square
Puzzle 18: Optimize The Fence
Answer To Puzzle 18: Optimize The Fence
Puzzle 19: Cylinder Height
Answer To Puzzle 19: Cylinder Height
Puzzle 20: Connect Four Towns
Answer To Puzzle 20: Connect Four Towns
Puzzle 1: Which Lane Is Better?
Puzzle 1: Answer To Which Lane Is Better?
Puzzle 2: Medical Conspiracies
Answer To Puzzle 2: Medical Conspiracies
Puzzle 3: Cards In Three Piles
Answer To Puzzle 3: Cards In Three Piles
Puzzle 4: Random Music
Answer To Puzzle 4: Random Music
Puzzle 5: Buying Fresh Fruit
Answer To Puzzle 5: Buying Fresh Fruit
Puzzle 6: The Pawn Chase
Answer To Puzzle 6: The Pawn Chase
Puzzle 7: Who Will Toss More Heads?
Answer To Puzzle 7: Who Will Toss More Heads?
Puzzle 8: Wrong Diagnosis?
Answer To Puzzle 8: Wrong Diagnosis?
Puzzle 9: A Dice And Coin Game
Answer To Puzzle 9: A Dice And Coin Game
Puzzle 10: A Four Dice Game
Answer To Puzzle 10: A Four Dice Game
Puzzle 11: Which Card Will Be Revealed?
Puzzle 11: Answer To Which Card Will Be Revealed?
Puzzle 12: The Three Coin Puzzle
Answer To Puzzle 12: The Three Coin Puzzle
Puzzle 13: Cake Cutting
Answer To Puzzle 13: Cake Cutting
Puzzle 14: Spreadsheet Random Numbers
Answer To Puzzle 14: Spreadsheet Random Numbers
Puzzle 15: Unloading Deliveries
Answer To Puzzle 15: Unloading Deliveries
Puzzle 16: Statistical Independence
Answer To Puzzle 16: Statistical Independence
Puzzle 17: Lost Child
Answer To Puzzle 17: Lost Child
Puzzle 18: Snowball Puzzle
Answer To Puzzle 18: Snowball Puzzle
Puzzle 19: Election Rule Change
Answer To Puzzle 19: Election Rule Change
Puzzle 20: Rolls Before Repeat
Answer To Puzzle 20: Rolls Before Repeat
Puzzle 21: Hat Guessing
Answer To Puzzle 21: Hat Guessing
Puzzle 22: Playing With A Loaded Die
Answer To Puzzle 22: Playing With A Loaded Die
Puzzle 23: Auctioning Off A Gift Card
Answer To Puzzle 23: Auctioning Off A Gift Card
Puzzle 24: Higher Or Lower
Answer To Puzzle 24: Higher Or Lower
Puzzle 25: What Do An Infinite Tower, A Classic Physics Problem, And Coin Flipping Have In Common?
Answer To Puzzle 25: What Do An Infinite Tower, A Classic Physics Problem, And Coin Flipping Have I