File:Monty Hall Problem Simulation.png
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Summary
[edit]DescriptionMonty Hall Problem Simulation.png |
English: Results of simulating multiple instances of the (canonical 3-door) Monty Hall Problem.
Each point shows, for the number of instances indicated (x-axis), the proportion (y-axis) of times "switching" wins the prize. For each x-value, 200 simulations are run, and the mean of the proportion of times "switching" wins is plotted in green. Each instance is simulated in a literal application of the game's rules (and assuming random and independent selection of the prize, the user's selected door, and — where relevant — the door to reveal): by first selecting a random integer from 1 to 3 as the location of the prize, then independently selecting a random integer from 1 to 3 as the player's choice, and then selecting a random integer from 1 to 3 that is neither the prize nor the choice as the reveal, and finally noting whether the prize is neither the choice or the reveal — i.e. whether "switching" wins the prize. Each point is plotted at ~1% opacity, so that darker points represent multiple occurrences of the same outcome. |
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Source | Own work |
Author | Aldaron |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:56, 10 June 2015 | ![]() | 6,888 × 4,291 (1.68 MB) | Aldaron (talk | contribs) | User created page with UploadWizard |
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