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re: Let's discuss the Monty Hall problem (probabilities, odds)

Posted on 8/12/17 at 2:34 pm to
Posted by Rebel
Graceland
Member since Jan 2005
143672 posts
Posted on 8/12/17 at 2:34 pm to
The odds are 50/50.

Since it is known 1 goat will be revealed (not necessarily door 3) all the "theater" before choosing between the final 2 doors is nothing more than a distraction.
Posted by Korkstand
Member since Nov 2003
29103 posts
Posted on 8/12/17 at 2:40 pm to
Posted by LordSaintly
Member since Dec 2005
43096 posts
Posted on 8/12/17 at 2:46 pm to
quote:

In the circumstance where you are correct switching will lose

In the circumstance where you were wrong the host will reveal your other Miss.

That means every time you pick wrong switching will win because the host is never going to reveal the car


And there are 2 out of 3 ways you can initially pick wrong, hence the 66.7% chance. Good explanation.
Posted by Rebel
Graceland
Member since Jan 2005
143672 posts
Posted on 8/12/17 at 2:49 pm to
quote:

It's still 33/67 and not 50/50.


Lol.
Posted by TheFonz
Somewhere in Louisiana
Member since Jul 2016
23220 posts
Posted on 8/12/17 at 2:50 pm to
I'll take both goats and sell them to a Muslim for 10,000 shekels.
Posted by Pectus
Internet
Member since Apr 2010
67302 posts
Posted on 8/12/17 at 3:04 pm to
Posted by TigerCoon
Member since Nov 2005
22468 posts
Posted on 8/12/17 at 3:07 pm to
the YouTube video seems to clear it up. On your first pick, you have a 2 in 3 chance of picking a goat. Monte must pick and remove the other goat, so switching wins the car if you started with a goat( 2 in 3), so you improve you odds by switching..
This post was edited on 8/12/17 at 3:19 pm
Posted by 2tigergo
Member since Jan 2013
209 posts
Posted on 8/12/17 at 3:15 pm to
I'm not going to read the entire thread, so excuse me if this has been covered already.

What happens if its oxen instead of goats that are used? (asking for a friend).
Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 3:18 pm to
quote:


And there are 2 out of 3 ways you can initially pick wrong, hence the 66.7% chance. Good explanation.

Honestly, it's not hard. Everyone, when confronted with the correct explanation knows it to be correct

Dadd is just a trolling a-hole like everyone before him

That's why i had the sense not to beat my head against the wall.

Some people genuinely want to learn.

That is NOT why he's in the thread
Posted by FutureMikeVIII
Houston
Member since Sep 2011
1744 posts
Posted on 8/12/17 at 3:22 pm to
Your take is wrong.

Think about it like this, if Monty asked would you rather pick 1 door out of 3 or 2 doors out of three which would you prefer?

Hopefully you would want to be able to pick 2. You pick door numbers 1 & 2.

Monty then (non-randomly, of course) reveals a goat behind door number 2 to raise drama and asks if you want to switch to door number 3 now.

Obviously (hopefully), you shouldn't because there was a 100% chance of at least one goat behind your 2 doors, and you still have 66.7% chance of having a car behind your remaining door.

He didn't reset the game.
Posted by TigerCoon
Member since Nov 2005
22468 posts
Posted on 8/12/17 at 3:28 pm to
I think we might be saying the same thing. If Monte's pick is not random and always removes a goat, always switch. If his pick is random (and does not remove the car) , switching makes no difference in the probability to win.
Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 3:32 pm to
quote:

I think we might be saying the same thing. If Monte's pick is not random and always removes a goat, always switch. If his pick is random (and does not remove the car) , switching makes no difference in the probability to win.


Hold for my response I accidentally hit submit
This post was edited on 8/12/17 at 3:36 pm
Posted by TheArrogantCorndog
Highland Rd
Member since Sep 2009
15913 posts
Posted on 8/12/17 at 3:34 pm to
His pick is never random... that's part of the game, he knows where everything is and will always show a goat
Posted by KosmoCramer
Member since Dec 2007
80508 posts
Posted on 8/12/17 at 3:35 pm to
quote:

asks if you want to switch to door number 3 now.

Obviously (hopefully), you shouldn't



I FEEL LIKE I'M TAKING CRAZY PILLS
Posted by TigerCoon
Member since Nov 2005
22468 posts
Posted on 8/12/17 at 3:38 pm to
agree. Games show drama really is implied by the name of the problem, but not stated in the original post. He said host picks, not "must pick" a goat
Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 3:50 pm to
I would just like to point out that nothing Monte does changes the fact that your chances of being right with your first choice were 1 in 3

Now for the fun part.

Do you guys know what Monty's chances of being right are when he picks second if he's picking at random and doesn't know the answer?

Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 3:51 pm to
I should have that when you are Computing odds for the Monty Hall problem you take the game as a whole because the game isn't being reset after every choice. Maybe that'll help answering my prior question
Posted by KosmoCramer
Member since Dec 2007
80508 posts
Posted on 8/12/17 at 3:52 pm to
quote:

Do you guys know what Monty's chances of being right are when he picks second if he's picking at random and doesn't know the answer?


What's his definition of being right?
Posted by Rebel
Graceland
Member since Jan 2005
143672 posts
Posted on 8/12/17 at 3:57 pm to
quote:

I would just like to point out that nothing Monte does changes the fact that your chances of being right with your first choice were 1 in 3


the way the game is set up, the contestant will always, always be faced with picking 1 of 2 doors. The odds are 50/50.

The 3rd door is irrelevant. The "3rd door" was never an option to begin with.
Posted by TigerCoon
Member since Nov 2005
22468 posts
Posted on 8/12/17 at 4:00 pm to
if you are asking about Monte's chance of selecting the car with a random pick, it is 1 in 3. The fact that he picked second, and your pick eliminated one door makes no difference, Correct?
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