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Mathematics 13 Online
OpenStudy (baseballer2014):

PROBABILITY PROBLEM!!!!!! HELP!!!! A game show host has a selection of 3 doors. Behind one of the doors is a brand new car and behind the other two are goats. The host tells the contestant to pick a door. Once the contestant has picked the door, the host reveals another door which contains 1 of the 2 goats. The host offers the contestant the option to switch his door and the contestant refuses because he now has a 50% chance of winning the car. Is the contestant right to stay with his door?

OpenStudy (xguardians):

I'm confused, would it make a difference if he switched doors? Regardless he still has a 50% chance since there are only two doors left?

OpenStudy (baseballer2014):

@undeadknight26

undeadknight26 (undeadknight26):

Well yes because he has a 50% chance of winning...But he also has a 50% chance of losing...this is a very tricky question!

OpenStudy (baseballer2014):

I am sorry but that is not the correct answer knight! believe it or not haha keep in mind it is in his best interest to switch doors every time he plays. Do you know why? @undeadknight26

undeadknight26 (undeadknight26):

Nope! haha sorry mate XD

OpenStudy (baseballer2014):

ok ill let some others take a crack at it

OpenStudy (xguardians):

Plot Twist: He wants a goat.

OpenStudy (anonymous):

Isn't this the motnty hall problem

OpenStudy (baseballer2014):

yes! do u understand the logic behind it?

OpenStudy (anonymous):

Yes

OpenStudy (xguardians):

Its 2/3

OpenStudy (anonymous):

https://www.youtube.com/watch?v=mhlc7peGlGg - monty hall

OpenStudy (baseballer2014):

can u explain? i know it is 2/3rds haha i didn't want anyone to cheat i wanted them to solve it mathematically

OpenStudy (baseballer2014):

This was more of a test of YOUR guys's knowledge rather than mine

OpenStudy (anonymous):

I got that -_-

OpenStudy (baseballer2014):

ok great i have another problem for you guys i want you to solve it without looking it up or cheating etc! please

OpenStudy (anonymous):

Okay

undeadknight26 (undeadknight26):

*claps slowly like the joker* I LOVE IT!

OpenStudy (anonymous):

Shoot the question dude

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