Which Door Should You Pick?
probability · conditional probability and the Monty Hall problem
Decide whether switching doors improves, worsens, or keeps the same odds of winning after one losing door is revealed.
Which Door Should You Pick? is a Grade 7 probability discussion built around the Monty Hall problem. Students choose among three doors, learn that one unchosen losing door is revealed, and debate whether staying or switching changes the chance of winning. The class then traces the original 1/3 and 2/3 probabilities to see why switching improves the odds.
Use it as a whole-class probability investigation when students are ready to reason about conditional information and changing choices. The scenario works especially well for prediction, debate, and revising an initial intuition. Create a free Find a Math Game account to generate teacher-ready lesson support for Which Door Should You Pick? No credit card is required, with 3 lifetime lesson generations.
- Grades:
- 7
- Classroom use:
- whole class
Standards alignment
Official Rules
Verified publisher content. Generate this game's lesson with a free account to unlock the complete Official Rules.
Original Printable
Unlocks when you generate this game's lesson.