Stakes Move Thresholds
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
An expected-utility choice responds smoothly to both the odds and the stakes — slide either far enough and the best action flips at a computable threshold.
Show
With the umbrella's utilities, Carry and Leave tie when rain hits 1 in 8; below that, Leave wins.
Watch for
Nothing mystical sets the flip point — it falls out of the same two-row arithmetic.