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11:41ENFive Ways to Calculate the Wait for a Successful ShotSawyer · Jane StreetA 20% success rate leads to an expected wait of five attempts—but two consecutive successes take 30. Explore the reasoning through series, recursion and a long-run argument.
6:16ENIndicator Variables: Marching Bands and SnowboardsSawyer · Jane StreetSawyer uses linearity of expectation to count in-step rows, then poses a six-snowboard challenge.
6:37ENCrossing the River: A Toy Boat Puzzle and a Snow-Cone SolutionSawyer · Jane StreetA toy boat drifts downstream in a steady current. Sawyer poses a navigation puzzle and solves the previous episode’s cone-and-hemisphere problem.
3:35ENSnow Cones and Spheres: A Volume Solution and a New Geometry PuzzleSawyer · Jane StreetSawyer derives the height of a cone with the same volume as a hemisphere, then asks how to reshape the ice with minimal movement.
5:39ENA Snow Cone Geometry Puzzle and a Piggy Bank ProbabilitySawyer · Jane StreetSawyer poses a cone-design challenge and solves a conditional probability problem in two ways.
7:03ENGrandma’s Secret College Fund: A Bayes’ Theorem PuzzleSawyer · Jane StreetA random $20 bill reveals information about a hidden deposit. Sawyer poses the new puzzle and solves a DMV probability problem three ways.