AR. A Quick Game
Two players take turns removing coins from a line; how can the first player always be sure to have at least as much money as the second?
AQ. The Principle of Indifference Redux
The solution to the balls puzzle and a quick puzzle about cards.
AO. Choosing Balls from A Bag
A fifty-fifty chance of drawing four blue balls from a bag: how many balls were blue?
AN. More Sucker Bets
Is there always a better choice?
AM. Arrow's Theorem
Can A be better than B, B be better than C and C be better than A? No voting system will ever be fair!
AL. Rumors and suckers
In which we show gossip is unreliable and how you can always fleece a sucker.
AK. Paradoxes and Liars
The mathematics of gossiping!
AJ. The Pop Quiz
Why 462 is the least interesting number less than 1000, and the students get a paradoxical pop quiz.
(plus, the answer to the census taker’s puzzle)
AI. Census Taker's Puzzle
The solution to the problem of the Three Gods: one always tells the truth; one always lies; one sometimes lies and sometimes tells the truth. When asked which is which, the one of the left says the one in the middle is the god of truth. The one in the middle says he sometimes lies and sometimes tells the truth. And the god on the right says the god in the middle is the god of falsehood. Who is who?
AH. QED
There are vastly many more real numbers than fractions!
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