How does the 3 door problem work?

How does the 3 door problem work?

How does the 3 door problem work?

These are the only cases where the host opens door 3, so if the player has picked door 1 and the host opens door 3, the car is twice as likely to be behind door 2 as door 1. The key is that if the car is behind door 2 the host must open door 3, but if the car is behind door 1 the host can open either door.

Can you escape 100 doors game?

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In which way is Marilyn vos Savant correct in her deduction about the probability of winning the car?

When Marilyn vos Savant was asked this question in her Parade magazine column, she gave the correct answer that you should switch doors to have a 66% chance of winning.

Is vos Savant her real name?

Marilyn vos Savant (/ˌvɒs səˈvɑːnt/; born Marilyn Mach; August 11, 1946) is an American magazine columnist who has the highest recorded intelligence quotient (IQ) in the Guinness Book of Records, a competitive category the publication has since retired.

Is Marilyn vos Savant her real name?

By all accounts, as the world’s record-holder for highest IQ, Marilyn vos Savant lived a largely unremarkable childhood. She was born Marilyn Mach in 1946 in St. Louis, Missouri.

Why does the probability lock in in Monty Hall?

The reason why the probability is 23 is simply that for the Monty Hall problem to work, the game host has to know which doors have goats, so that the host can always reveal one, regardless of which door is chosen. It has nothing to do with the player, but rather that choice.

Is Monty Hall problem false?

The Monty Hall problem has confused people for decades. In the game show, Let’s Make a Deal, Monty Hall asks you to guess which closed door a prize is behind. The answer is so puzzling that people often refuse to accept it! The problem occurs because our statistical assumptions are incorrect.