Book contents
- Frontmatter
- Contents
- Preface
- 1 The concept of chance
- 2 The classical picture: What is the world made of?
- 3 Ways the world might be
- 4 Possibilities of thought
- 5 Chance in phase space
- 6 Possibilist theories of chance
- 7 Actualist theories of chance
- 8 Anti-realist theories of chance
- 9 Chance in quantum physics
- 10 Chance in branching worlds
- 11 Time and evidence
- 12 Debunking chance
- References
- Index
1 - The concept of chance
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- 1 The concept of chance
- 2 The classical picture: What is the world made of?
- 3 Ways the world might be
- 4 Possibilities of thought
- 5 Chance in phase space
- 6 Possibilist theories of chance
- 7 Actualist theories of chance
- 8 Anti-realist theories of chance
- 9 Chance in quantum physics
- 10 Chance in branching worlds
- 11 Time and evidence
- 12 Debunking chance
- References
- Index
Summary
An unlucky gamble
Suppose you were offered the chance to play a simple gambling game, in which you are invited to bet on the outcome of a die-roll. There are only two bets allowed. You can wager that the die will land 6, or you can wager that it will land any of 1, 2, 3, 4, or 5. In either case, if your wager is successful, you will win the same prize: one dollar.
So the bets are:
Die lands 1–5 Pays $1.
Die lands 6 Pays $1.
Assume that you know, moreover, that the die has no significant asymmetry in its construction. It does not have a physical bias to one or more sides.
Which bet ought you to take? Assuming you would prefer more money to less, it is obvious that you ought to take the bet on 1–5, rather than the bet on 6.
Now suppose that you really do play this game, and you play it at the same time as a friend. You sensibly choose to bet on 1–5. Your friend, bizarrely, insists that she has a hunch that the die will land 6; so that is the bet she takes. The die lands 6. Your friend wins.
- Type
- Chapter
- Information
- A Philosophical Guide to ChancePhysical Probability, pp. 1 - 33Publisher: Cambridge University PressPrint publication year: 2012