All labsStart this quest
Maths ~4 minconditional probability, Monty Hall problem, counting cases
Should you switch doors?
You pick Door 1. The host opens another door to show a goat. Two doors are left. Are they really fifty-fifty?
Maths · ~4 min · live model
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Make a prediction, then push the model. What you discover is recorded here.
The idea behind this lab (open after you’ve tried it)
The host can never open the car’s door, so his choice carries information. Switching wins whenever your first pick was wrong: two times in three.
Go deeper than one lab.
A full quest builds the idea step by step, with checks and a new case to apply it to.