288.Monty Hall
★★★conditional probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
On a game show you pick one of three doors; one hides a car, two hide goats. The host — who knows where the car is — opens a door you did not pick, revealing a goat, and offers you the chance to switch to the other closed door. What is the probability you win the car if you switch?
Sign in to submit an answer and track it toward your stats.
Sign inHint
Your original door was right with probability . Does the host's (forced) reveal change that?
Want timed drills, mental math, and a market-making game too? Try the full practice suite →