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Deal or no Deal

Statistics & Probability

Deal or No Deal is one of the most commonly chosen exploration topics, and moderators see many similar versions of it. Distinguish yours by digging into how the banker's offer compares with expected value trial by trial, rather than describing expected value in general.

Where this idea comes from

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Introduction

Expected value in Deal or No Deal is simple to state and easy to explore only superficially, which is why examiners see this topic often. The differentiator is tracking, box by box through a real episode, how the banker's offer compares with the expected value of the boxes still in play, and using that comparison to test whether contestants who follow expected value actually do better.

Guiding Questions
  • When the banker makes an offer, how does it compare with the expected value of the boxes still in play? Track this pattern through a real episode.
  • What is the expected value of your box at the very start of the game, before any boxes are opened?
  • How does the expected value change as boxes are opened during a real episode?
  • Would a player who always follows expected value do well? What does that say about risk?
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Key Mathematical Concepts
Probability Decision Making Expected Value Game Theory
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