Book contents
- Frontmatter
- Introduction
- Contents
- Part I Activities and Problem Statements
- Chapter 1 Distribution Dilemmas
- Chapter 2 Weird Shapes
- Chapter 3 Counting the Odds … and Evens
- Chapter 4 Dicing, Slicing and Avoiding the Bad Bits
- Chapter 5 “Impossible” Paper Tricks
- Chapter 6 Tiling Challenges
- Chapter 7 Things that Won't Fall Down
- Chapter 8 Möbius Madness: Tortuous Twists on a Classic Theme
- Chapter 9 The Infamous Bicycle Problem
- Chapter 10 Making Surfaces in 3- and 4-Dimensional Space
- Chapter 11 Paradoxes in Probability Theory
- Chapter 12 Don't Turn Around Just Once!
- Chapter 13 It's All in a Square
- Chapter 14 Bagel Math
- Chapter 15 Capturing Chaos
- Chapter 16 Who Has the Advantage
- Chapter 17 Laundry Math
- Chapter 18 Get Knotted!
- Chapter 19 Tiling and Walking
- Chapter 20 Automata Antics
- Chapter 21 Bubble Trouble
- Chapter 22 Halves and Doubles
- Chapter 23 Playing with Playing Cards
- Chapter 24 Map Mechanics
- Chapter 25 Weird Lotteries
- Chapter 26 Flipped Out
- Chapter 27 Parts that do not Add up to their Whole
- Chapter 28 Making the Sacrifice
- Chapter 29 Problems in Parity
- Chapter 30 Chessboard Maneuvers
- Part II Hints, Some Solutions and Further Thoughts
- Part III Solutions and Discussions
- References
- Index
Chapter 23 - Playing with Playing Cards
from Part I - Activities and Problem Statements
- Frontmatter
- Introduction
- Contents
- Part I Activities and Problem Statements
- Chapter 1 Distribution Dilemmas
- Chapter 2 Weird Shapes
- Chapter 3 Counting the Odds … and Evens
- Chapter 4 Dicing, Slicing and Avoiding the Bad Bits
- Chapter 5 “Impossible” Paper Tricks
- Chapter 6 Tiling Challenges
- Chapter 7 Things that Won't Fall Down
- Chapter 8 Möbius Madness: Tortuous Twists on a Classic Theme
- Chapter 9 The Infamous Bicycle Problem
- Chapter 10 Making Surfaces in 3- and 4-Dimensional Space
- Chapter 11 Paradoxes in Probability Theory
- Chapter 12 Don't Turn Around Just Once!
- Chapter 13 It's All in a Square
- Chapter 14 Bagel Math
- Chapter 15 Capturing Chaos
- Chapter 16 Who Has the Advantage
- Chapter 17 Laundry Math
- Chapter 18 Get Knotted!
- Chapter 19 Tiling and Walking
- Chapter 20 Automata Antics
- Chapter 21 Bubble Trouble
- Chapter 22 Halves and Doubles
- Chapter 23 Playing with Playing Cards
- Chapter 24 Map Mechanics
- Chapter 25 Weird Lotteries
- Chapter 26 Flipped Out
- Chapter 27 Parts that do not Add up to their Whole
- Chapter 28 Making the Sacrifice
- Chapter 29 Problems in Parity
- Chapter 30 Chessboard Maneuvers
- Part II Hints, Some Solutions and Further Thoughts
- Part III Solutions and Discussions
- References
- Index
Summary
A Pastiche of Card Surprises
Surprise 1. Shuffle a deck of cards and divide them into two piles of 26 cards each. Count the number of black cards in the first pile and the number of red cards in the second. What do you notice?
Surprise 2. Shuffle a deck of cards and divide them into two piles, one of 32 cards, the other of 20 cards. Count the number of black cards in the first pile and the number of red cards in the second. Subtract the smaller number from the larger. What do you get?
Surprise 3. Split a deck of cards into two piles according to color. Take ten cards from the red pile and shuffle them into the black pile. Without peeking, select ten cards from the (mostly) black pile and place them into the red pile. Count the number of “foreign” cards in each pile. What do you notice?
Surprise 4. Shuffle a deck of cards, take note of the top card, and place the deck face down on the table. Cut the deck, flip the top pile over, and place it back on the deck. Cut the deck again, deeper this time, and again flip the top pile over and place it back on the deck. Now remove all the cards that face up. What's the next card?
Surprise 5. Arrange a deck of cards so that all cards of the same suit appear in order from Ace, King, Queen, down to two.
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- Information
- Solve ThisMath Activities for Students and Clubs, pp. 57 - 60Publisher: Mathematical Association of AmericaPrint publication year: 2001