Monty Hall Simulation
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randomizer for the first doordoor 1 (originally picked)door 2 (randomized)door 3reveal loser behind this doorswitch to this doorend resultSuccess rateWarning: The creator of this simulation could have easily tampered with the data farther down the page in order to generate a conclusion to his liking. DO NOT BLINDLY ACCEPT THIS DATA. Run this simulation yourself by clicking File and Make a Copy. Verify the formulas in the first row and then fill down to the remaining 9999 rows.
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2goatcarpig32CAR!66.73%Please be patient while calculating. There are a lot of moving parts in this simulation.
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3piggoatcar23CAR!
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1cargoatpig23pig
# of tests
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1carpiggoat23goat10000
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2goatpigcar23CAR!
Unlike the traditional Monty Hall puzzle, this one involves a goat and a pig to demonstrate that you do not need to focus on two different losing prizes. The focus is on the car.
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3piggoatcar23CAR!
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1cargoatpig23pigColumn Legend
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3pigcargoat32CAR!
Column A: Randomizer. We first need to place the items behind the doors. The first door is given a pig, goat, or car.
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1cargoatpig23pigColumn B: The "prize" behind door 1. The puzzle presumes you pick door 1, so this is our initial choice.
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1cargoatpig32goatColumn C: The "prize" behind door 2. It cannot be the same thing as what's behind door 1.
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1cargoatpig23pigColumn D: The "prize" behind door 3. It is whatever is not behind the other two doors.
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2goatcarpig32CAR!
Column E: The door being revealed. If the car is behind 2 or 3, then obviously the other door is revealed. If the car is behind 1, then it randomly chooses door 2 or 3.
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3pigcargoat32CAR!Column F: This is the door the contestant switches to. It is dependent entirely on which door is revealed.
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3piggoatcar23CAR!Column G: The result after switching to door 2 or 3.
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3pigcargoat32CAR!Column H: The number of car results in column G divided by the number of trials (in H5).
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3pigcargoat32CAR!
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1cargoatpig23pig
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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1carpiggoat23goat
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1cargoatpig32goat
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1cargoatpig32goat
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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3pigcargoat32CAR!
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2goatcarpig32CAR!
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2goatpigcar23CAR!
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2goatcarpig32CAR!
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3piggoatcar23CAR!
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2goatcarpig32CAR!
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3piggoatcar23CAR!
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2goatpigcar23CAR!
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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1carpiggoat32pig
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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2goatcarpig32CAR!
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2goatpigcar23CAR!
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1carpiggoat32pig
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3pigcargoat32CAR!
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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1cargoatpig32goat
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3pigcargoat32CAR!
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2goatcarpig32CAR!
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2goatcarpig32CAR!
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3piggoatcar23CAR!
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2goatpigcar23CAR!
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2goatcarpig32CAR!
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1cargoatpig32goat
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2goatpigcar23CAR!
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1cargoatpig23pig
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2goatcarpig32CAR!
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1cargoatpig32goat
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2goatpigcar23CAR!
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3piggoatcar23CAR!
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1cargoatpig32goat
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3piggoatcar23CAR!
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1cargoatpig32goat
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3piggoatcar23CAR!
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3pigcargoat32CAR!
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3pigcargoat32CAR!
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1carpiggoat23goat
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1carpiggoat32pig
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2goatcarpig32CAR!
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2goatpigcar23CAR!
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3pigcargoat32CAR!
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3pigcargoat32CAR!
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2goatpigcar23CAR!
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1cargoatpig32goat
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1cargoatpig32goat
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3piggoatcar23CAR!
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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1carpiggoat23goat
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3piggoatcar23CAR!
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2goatpigcar23CAR!
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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2goatcarpig32CAR!
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1carpiggoat23goat
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2goatcarpig32CAR!
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2goatcarpig32CAR!
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1cargoatpig32goat
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1carpiggoat32pig
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2goatcarpig32CAR!
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3pigcargoat32CAR!
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2goatpigcar23CAR!
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3pigcargoat32CAR!
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3pigcargoat32CAR!
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3piggoatcar23CAR!
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3piggoatcar23CAR!
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3pigcargoat32CAR!
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2goatpigcar23CAR!
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1cargoatpig23pig