3 Doors Behind One Is a Car

Named for the Lets Make a Deal game show host the puzzle goes like this. The professor tells the main character that he is on a game-show and the game-show host tells you he has 3 doors.

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Two doors have nothing behind them but one door has a brand new shiny red car.

. After you have picked a door the presenter opens a different door with a goat behind it he then gives you the chance to change what door you open. You are presented with a choice of 3 doors. He then says to you Do you want to switch and pick door No.

You are on a game show and there are three doors. You choose a door which for concreteness we assume is door 1. The Monty Hall problem is a brain teaser in the form of a probability puzzle loosely based on the American television game show Lets.

You are on a game show. IStock One of the wildest QA episodes in the history of Marilyn vos Savant s Ask Marilyn column began in the fall of 1990 with a theoretical question about a. Monty Hall then opens 3 goat doors and offers you the option of switching to any of the remaining 3 doors.

Then the host opens a different door. You pick a door say No. You are on a game show with three doors behind one of which is a car and behind the other two are goats.

Monty Hall the game show host examines the other doors B C and opens one with a goat. You are given three doors to choose from one of which contains a car and the other two contain goats. You pick a door call it door A.

Now the host who knows whats behind the doors opens another door say No. You choose a door. There are 7 doors behind one of which there is a car which you want and behind the rest of which there are goats which you dont want.

After youve chosen one but havent opened it Monty who knows where everything is reveals the location of a goat from behind one of the other two doors. The contestant is asked to pick one. Behind one is a car behind the others there are goats.

Behind one is a luxury car and behind the other two are nothing. Monty Hall then opens a door to reveal a goat and. A contestant on a game show is presented 3 doors one of which has a car behind it and two do not.

There are now only the door you picked and one remaining door which are unopened. As an example assume that you have selected Door 1 initially. Behind the other two doors there are goats and he asks you to pick a door at random.

Behind the others goats. First the player chooses a door but does not open it. He sees three doors.

Initially all possibilities are equally likely for where the car is. But lets suppose you guessed incorrectly. Behind one of the doors is a sportscar.

Posted in Easy Riddles. Behind the others goats. Which door does he go through first.

Do you stick with door A original guess or switch to the unopened door. Door 1 Door 2 and Door 3. If I save 1 a month then it will take me 12 months to.

There are three doors behind one of which there is a car which you want and behind the other two of which there are goats which you dont want. In search of a new car the player picks a door say 1. You choose a door which for concreteness we assume is Door 1.

The game host then opens one of the other doors say 3 to reveal a goat and offers to let the player switch from door 1 to door 2. Monty who knows. It is named for this shows host Monty Hall.

Behind one door is a car. After you do this as part of the game he opens one unpicked doors which he knows is empty. You are racing in a TV game show and the host asks you to choose one of 3 doors.

So we basically have to find the probability PE 1 A which basically means What is the probability that the car is behind door 1 given that the host has already opened door 3. Behind one door is a car. A car prize of high value is behind one door and goats booby prizes of low value are behind the other two doors.

Now the host who knows whats behind the doors opens another door say No. 3 which has a goat. He then says to you Do you want to switch and pick door No.

As a second chance you can now switch your selected door if you want. The person chooses Door 1. There are 3 doors behind which are two goats and a car.

A man is in his car. 25 pts Suppose that on the game show Lets Make a Deal there are 3 doors and behind one is a car and behind the other two are goats and suppose that the host Monty Hall doesnt know where the car and goats are. In a game show there are 3 doors.

Initially all possibilities are equally likely for where the car is. The presenter tells you that behind one of doors there is a car and behind the other two are goats. Again this means that the remaining door must be the correct one.

If there is a goat behind door 2 and Monty offers. Suppose youre on a game show and youre given the choice of three doors. A golden one a diamond one and a silver one.

And consider another event A such that AThe host opens door 3. Suppose youre on a game show and youre given the choice of three doors. 3 which has a goat.

23 0 23. You pick a door say No. Youre hoping for the car of course.

Original Monty Hall Problem. 2 What should you do. Consequently for this set of 666 games the car is always behind the unopened door.

If you pick the car you win it. You pick door 1. After choosing a door the host then opens one of the two doors not picked by the contestant.

The host asks you pick one of the doors. Therefore by changing your choice the probability of winning is 23 x 1 23. The 3-Door Monty Hall Problem By Michael Shermer.

After you pick a door the host reveals one of the other two doors behind which there is a goat. The door opened does NOT have a. If both doors have goats he picks randomly Heres the game.

Initially all possibilities are equally likely for where the car is. The game show host knows which door has the car. Your total chances of winning by changing your guess is.

Suppose you pick door 1 and suppose that Monty randomly picks a door say door 2 and shows whats behind it. By changing your guess the probability that you win is 13 x 0 0. Would you will with.

For the other 666 games the car is behind one of Montys two doors. 2 What would you do. Posted on March 9 2018 by Riddlesfyi 8 Comments.

Because Monty knows which one the car is behind he always chooses the door with the goat. E 1 Car is behind door 1 E 2 Car is behind door 2 E 3 Car is behind door 3. In the problem there are three doors.

Consequently the contestant wins 333999 13 by staying and 666999 23 for switching. There are 3 doors behind one of which there is a car which you want and behind the other two of which there are goats which you dont want. My goal is to have 12.

What should you do. You pick a door and before the host opens it he opens a door.

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