Melvin's digital garden

mathematical paradoxes

Coinflip paradox

  • For each HH in the sequence of flips, Alice gets a point; for each HT, Bob
  • does. Who is most likely to win?
  • Answer: Bob.

Simpson’s Paradox

Braess’ paradox

  • travel time is a function of drivers
  • an extra road could cause extra traffic, causing longer travel time

Gabriel’s wedding cake

  • finite volume, infinite surface area

St Petersburg paradox

  • you win 2^N if the first head appears on the Nth flip

Berry paradox

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