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

Posted on 8/12/17 at 11:37 am to
Posted by dbeck
Member since Nov 2014
29454 posts
Posted on 8/12/17 at 11:37 am to
quote:

That's not what the problems states as given in the OP.

You don't know who Monty Hall is do you?
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 11:54 am to
Yes, I grew up watching Let's Make A Deal.

And my response to what I quoted still stands.

I choose door # 1. #3 is opened and reveals a goat.

The car is behind #1:

I switch, I lose.
I stay, I win.

The car is behind door #2:

I switch, I win.
I stay, I lose.

50/50
This post was edited on 8/12/17 at 12:04 pm
Posted by gaetti15
AK
Member since Apr 2013
15263 posts
Posted on 8/12/17 at 12:07 pm to
Myth busters has the perfect episode explaining this concept.

The create the same game and the person who switches wins way more.

It's just conditional probabilities
Posted by Jcorye1
Tom Brady = GoAT
Member since Dec 2007
76373 posts
Posted on 8/12/17 at 12:08 pm to
quote:

The answer is yes for reasons I have never completely understood



Because you actively get another choice. It creates a new problem, and if you stay with the original answer it's still 1/3 where a new answer is 1/2.
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 12:12 pm to
What is incorrect about the scenario I posted?
This post was edited on 8/12/17 at 12:13 pm
Posted by shotcaller1
Member since Oct 2014
7501 posts
Posted on 8/12/17 at 12:15 pm to
I always feel like I have 50/50 after thr goat is revealed.
Posted by dbeck
Member since Nov 2014
29454 posts
Posted on 8/12/17 at 12:16 pm to
Posted by Spock's Eyebrow
Member since May 2012
12300 posts
Posted on 8/12/17 at 12:21 pm to
quote:

I choose door # 1. #3 is opened and reveals a goat.

The car is behind #1:

I switch, I lose.
I stay, I win.

The car is behind door #2:

I switch, I win.
I stay, I lose.

50/50


What you're missing is that deliberately showing you a goat is different than randomly showing you a goat. If the host shows you a goat on purpose, it's the same as not showing you a goat at all. In that case, switching is trading your door for his two.
Posted by shotcaller1
Member since Oct 2014
7501 posts
Posted on 8/12/17 at 12:22 pm to
Get it now
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 12:33 pm to
Like I said, that is not the problem stated in the OP. That one specifically noted that you pick door #1 and they open door #3. It's two different scenarios.
I showed all possible outcomes of the problem stated in the OP, and it's 50/50. Switching is of no benefit.
This post was edited on 8/12/17 at 12:37 pm
Posted by dbeck
Member since Nov 2014
29454 posts
Posted on 8/12/17 at 12:39 pm to
You have a 50/50 chance of being retarded.
This post was edited on 8/12/17 at 12:40 pm
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 12:43 pm to
Tell me where my scenario is wrong then.


I choose door # 1. #3 is opened and reveals a goat.
That is the problem stated in the OP.

The car is behind #1:

I switch, I lose.
I stay, I win.

The car is behind door #2:

I switch, I win.
I stay, I lose.

50/50
This post was edited on 8/12/17 at 12:45 pm
Posted by foshizzle
Washington DC metro
Member since Mar 2008
40599 posts
Posted on 8/12/17 at 12:45 pm to
Dad is actually correct that the OP did not specify that the host knows which door has the car and will only open a door showing a goat.

If the host has no idea, then it doesn't matter if you switch and it is a 50/50 shot.

If the host does know, then yes you are correct that it is better to switch. But problem as stated in the OP did not specify this.
Posted by PrimeTime Money
Houston, Texas, USA
Member since Nov 2012
27988 posts
Posted on 8/12/17 at 12:48 pm to
quote:

Yes, I grew up watching Let's Make A Deal.

And my response to what I quoted still stands.

I choose door # 1. #3 is opened and reveals a goat.

The car is behind #1:

I switch, I lose.
I stay, I win.

The car is behind door #2:

I switch, I win.
I stay, I lose.

50/50

What you are missing is that you will only pick the car if you stay 33% of the time.

You will pick the car if you switch 67% of the time.

Just because you end up with two choices doesn't mean it's 50/50.
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 12:48 pm to
quote:

But problem as stated in the OP did not specify this


Exactly. The OP said you pick #1, they open #3 with a goat.
Probablity scenarios that include you choosing door #3 are irrelevant in the Op scenario...unless you REALLY like that goat.
This post was edited on 8/12/17 at 12:50 pm
Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 12:51 pm to
quote:

You have a 50/50 chance of being retarded.

The Monte Hall question is always a great way to weed the idiots out on a room

Everyone will holds on to the no switch scenario outs themselves

They basically end up having to put their fingers on their ears yelling nanananana
Posted by TigrrrDad
Member since Oct 2016
8088 posts
Posted on 8/12/17 at 12:51 pm to
No, you won't - because I laid out every option in the OP scenario.

Tell me where my scenario is wrong then.


I choose door # 1. #3 is opened and reveals a goat.
That is the problem stated in the OP.

The car is behind #1:

I switch, I lose.
I stay, I win.

The car is behind door #2:

I switch, I win.
I stay, I lose.

50/50
This post was edited on 8/12/17 at 12:53 pm
Posted by dbeck
Member since Nov 2014
29454 posts
Posted on 8/12/17 at 12:52 pm to
quote:

the OP did not specify that the host knows which door has the car and will only open a door showing a goat.

Yeah I remember all those episodes of Let's Make A Deal when the contestant picked a door and Monty opened a second door revealing the car and then asked if the contestant wanted to change their pick.
Posted by Spock's Eyebrow
Member since May 2012
12300 posts
Posted on 8/12/17 at 12:52 pm to
True, the problem could be stated more precisely. However, it would be a strange game for the host to be an equal player, so most people assume he's revealing a goat on purpose. I mean, if the host is picking at random, he might as well just skip the rigmarole and immediately show the player what's behind his door.
Posted by ShortyRob
Member since Oct 2008
82116 posts
Posted on 8/12/17 at 12:53 pm to
quote:


No, you won't - because I laid out every option in the OP scenario

How well are your fingers fitting in your ears

LOL
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