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re: Let's Find Out How Smart You Baws Are

Posted on 3/22/24 at 9:10 am to
Posted by Dadren
Jawja
Member since Dec 2023
937 posts
Posted on 3/22/24 at 9:10 am to
quote:

note: I'm not saying those telling me to switch are wrong, I'm asking for an explanation as to how one shell suddenly has a higher percentage chance than the other does.

This is where I went wrong also. Interestingly, the probabilities actually don’t change.

When you made your initial selection (let’s call it A), it had a 1/3 chance of being correct. Which means that combined, B and C had 2/3 chance of being correct.

By revealing C as incorrect, he’s not changing the probabilities, he’s simply giving you new information on how that 2/3 probability is distributed among B and C. Instead of “1/3 and 1/3” like you initially thought, you now know it’s “2/3 and 0/3”.

If it was 50/50 that would be changing the probability of both your remaining selection and your initial one, which can’t be true.

I learned something today
Posted by Tiger985
Member since Nov 2006
6464 posts
Posted on 3/22/24 at 9:12 am to
The math is in your favor to switch as others have said.

However, in a one time gamble which is what this is, if someone decided to stick with their original choice you would be dumb to call them foolish.

It's a gamble and if you observed 10 people play this game 6 could win by sticking with original choice.

That's the nature of a small sample.

Like flipping 3 straight heads on a coin flip.
Posted by deltaland
Member since Mar 2011
90627 posts
Posted on 3/22/24 at 9:20 am to
I’ll just kick your arse and take the tree fiddy. 100% probability
Posted by RustyDaDog
BAOK
Member since Mar 2023
479 posts
Posted on 3/22/24 at 9:20 am to
quote:

You got jackedin NOLA, didnt you. Beta

I know where you got dem shoes
Posted by TDsngumbo
Alpha Silverfox
Member since Oct 2011
41615 posts
Posted on 3/22/24 at 9:21 am to
How do I know you’re telling the truth about the $350?
Posted by LordSaintly
Member since Dec 2005
38910 posts
Posted on 3/22/24 at 12:28 pm to
quote:


why would one of the two have better odds than the other?
the only difference between the two is that one is in my hand and one is on the table.


The probability changes because he reveals one of the cups. This gives you more information.

There is a 1/3 chance of picking correctly. If you pick correctly and switch, you get no money.

There is a 2/3 chance of picking incorrectly. If you pick incorrectly and switch, you always get the money. This is because the dealer always reveals an empty shell, so the remaining shell must contain the money.

So, the probability of getting paid is the same as
the probability of choosing the wrong shell, which is 2/3.
Posted by North Dallas Tiger
Geaux Tigahs
Member since Mar 2024
2046 posts
Posted on 3/22/24 at 12:29 pm to
quote:

Only baws who scored 30+ on the ACT need apply
Posted by oleheat
Sportsman's Paradise
Member since Mar 2007
13456 posts
Posted on 3/22/24 at 12:30 pm to
We know where you got dem boots.
Posted by LordSaintly
Member since Dec 2005
38910 posts
Posted on 3/22/24 at 12:32 pm to
quote:

It's a gamble and if you observed 10 people play this game 6 could win by sticking with original choice.



Yes that could happen, but it isn't likely. There's less than a 6% chance of what you describe happening.
Posted by Shorty_price
Member since Oct 2018
208 posts
Posted on 3/22/24 at 12:45 pm to
"Statistics are like a bikini. What they reveal is suggestive, but what they conceal is vital."

-Aaron Levinstein
This post was edited on 3/22/24 at 12:46 pm
Posted by A Menace to Sobriety
Member since Jun 2018
29094 posts
Posted on 3/22/24 at 12:48 pm to
Not reading this shite, but I will downvote.
Posted by SquatchDawg
Cohutta Wilderness
Member since Sep 2012
14206 posts
Posted on 3/22/24 at 12:49 pm to
50/50.

Your first pick had a 33.3% chance of being accurate. Now you know there’s a 50% chance of being accurate.

Future probabilities don’t care what happened last time.
This post was edited on 3/22/24 at 12:51 pm
Posted by BPTiger
Atlanta
Member since Oct 2011
5307 posts
Posted on 3/22/24 at 12:51 pm to
quote:

Explain???


Explained


Op just learned something everybody else already knew.
Posted by Penrod
Member since Jan 2011
39353 posts
Posted on 3/22/24 at 12:53 pm to
quote:

Question: Is there any probability advantage to switching or is it 50/50 between your shell and the other remaining one?

Probably an advantage in not switching. If I had my hand on the shell with no money you probably would not give me the chance to switch. Therefore, I probably have my hand on the tree fiddy.
Posted by SquatchDawg
Cohutta Wilderness
Member since Sep 2012
14206 posts
Posted on 3/22/24 at 12:55 pm to
Video is flawed. You can’t assume the car is in a different door each time. Car could be in the same door two out of three.

First guess 33% chance it’s accurate.
Second guess 50% chance it’s accurate.

This is like thinking theirs a higher chance of hitting black on roulette because it’s hit black the last 5 times.
Posted by BPTiger
Atlanta
Member since Oct 2011
5307 posts
Posted on 3/22/24 at 12:59 pm to
You get to play once. The video shows where the car is in all three scenarios.

You are mathematically wrong.

You have a 33% chance of winning by staying. You have a 66% chance of winning by switching.
This post was edited on 3/22/24 at 1:00 pm
Posted by SquatchDawg
Cohutta Wilderness
Member since Sep 2012
14206 posts
Posted on 3/22/24 at 1:06 pm to
I stand corrected. You’re right.

I have no idea why though….something to do with you only getting the first pick right 33% of the time so being able to switch wins 2 out of 3?

I was so confident too.
Posted by LordSaintly
Member since Dec 2005
38910 posts
Posted on 3/22/24 at 1:13 pm to
quote:

something to do with you only getting the first pick right 33% of the time so being able to switch wins 2 out of 3?



Exactly. You have a 67% chance of picking wrong, and every time you pick wrong and switch, you get the money.
Posted by LegendInMyMind
Member since Apr 2019
54234 posts
Posted on 3/22/24 at 1:18 pm to
quote:

Let's say we're playing the shell game

I'm smart enough not to play the shell game.
Posted by johnqpublic
Right here
Member since Oct 2017
610 posts
Posted on 3/22/24 at 1:21 pm to
Monty Hall problem. Mythbusters did an episode about it. ALWAYS switch. your odds increase from 1 in 3 to 1 in 2.

The key is that the "host" KNOWS where the money is.
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