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Title: Monty's Dilemma: Should You Stick or Switch?
Url: http://illuminations.nctm.org/Lesson.aspx?id=1399
Creator: Dick, Thomas
Shaughnessy, J. Michael
Publisher: Illuminations: Resources for Teaching Mathematics
National Council of Teachers of Mathematics
 Description: Created by J. Michael Shaughnessy and Thomas Dick, this activity presents a version of a classic game-show scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors which reveals no prize, then asks if you wish to "stick or switch." Which choice gives you the best chance to win? The approach in this activity runs from guesses to experiments to computer simulations (links to applets are provided) to theoretical models. The activity can be adapted by leaving out the "flip-a-coin" strategy presented here. This is a fun and worthwhile activity that students can easily engage with.
LC Classification: Science -- Mathematics -- Mathematical statistics
Science -- Mathematics -- Numerical analysis -- Numerical simulation. Monte Carlo method
Science -- Mathematics -- Probabilities
Science -- Mathematics -- Probabilities -- Addresses, essays, lectures
GEM Subject: Mathematics -- Statistics
Mathematics -- Probability
Key Concept: Mathematics -- Probability
Mathematics -- Statistics
Date Issued: 2009
Resource Type: Instructional Materials
Lesson Plans
Mathematics Materials
Reference
Teaching Guides
Format: html
Audience: College/University Instructors
Higher Education
Secondary Education
Students
Teachers
Technical School First Cycle
Technical School Second Cycle
University First Cycle
University Second Cycle
Vocational Training
Language: English
Rights: National Council of Teachers of Mathematics
Access Rights: Free access
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Source: CAUSEweb
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