Pop quiz! Just for fun... (1 Viewer)

[ElGronko]

This is just for fun, not tryna get anyone to do my homework for me.


This is quite a famous question sent into a mathamatician, and the answer made alot of other mathamaticians very angry and confused on-lookers had rather a smashing time. The correct answer will surprise you, the question is as follows...

You are on a game show on television. On this game show the idea is to win a car as a prize. The game showhost shows you three doors. He says that there is a car behind one of the doors and there are goats behind the other two. He asks you to pick a door but the door is not opened. Then the game show host opens one of the doors you didn't pick to show a goat (because he knows what is behind the doors). Then he says that you have one final chance to change your mind before the doors are opened and you get a car or a goat. So he asks you if you want to change your mind and pick the other unopened door instead. What should you do?

any takers?

 

[hipsta_jess]

From what I remember from general maths (omg, soooo long ago), you should keep the same door.

 

[Xayma]

Switch. If he opens a door with a goat.

Lets assume the contestant picks door 1.

Situation 1:
Car is behind door 1.
Host opens door 2 (or 3) and offers an exchange between 1 and 3 (or 2).
You should stay.

Situation 2:
Car is behind door 2.
Host opens door 3 and offers an exchange between 1 and 2.
You should swap.

Situation 3:
Car is behind door 3.
Host opens door 2 and offers an exchange between 1 and 3.
You should swap.

The chances of it being behind the other door is hence 2/3.

This is a reflection of a popular game show of the past but on the show the host didnt always offer an exchange or sometimes opened the door with the car.

 

[Affinity]

monty hall

 

[still waiting]

you should stay with the door you originally picked because u have a one out of two chance at getting it right

ps are u actually going to tell us the answer or are u going to leave us hanging?

 

[Loz_metalhead]

hmm well you have a 2/3 chance of getting it right...so would you stay?

 

[withoutaface]

you should stay with the door you originally picked because u have a one out of two chance at getting it right

ps are u actually going to tell us the answer or are u going to leave us hanging?

Xayma gave the correct answer.

 

[Jago]

always switch. wait, i should probably read the question in it's entirety

edit: yep agree with xayma, my maths teacher told me this a loooooooong time ago.