Complete · 30 Days19 / 143
EasyProbability
Monty Hall
Goldman SachsMorgan Stanley
Three doors: one hides a car, two hide goats. You pick a door; the host (who knows) opens a different door revealing a goat, then offers you the switch. What is your probability of winning the car if you switch?
Approach
What’s the chance your first pick was right?
The host’s choice is not random — it carries information.
Related problems
Birthday ProblemMediumBayes — Disease TestMediumTwo ChildrenEasyExponential SurvivalMediumCoin Toss — Two HeadsEasyRoll Until All Six FacesMedium
More in Probability.