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re: Solve this OT

Posted on 7/24/18 at 2:37 pm to
Posted by slackster
Houston
Member since Mar 2009
91873 posts
Posted on 7/24/18 at 2:37 pm to
quote:

You have to use conditional probability. The probablity of picking the each box is 1/3. But the next ball also being gold also is 100% for the one with two gold balls and 0 for one with gold and silver since you already picked the only gold. So it is 1/3*1 + 1/3*0 = 1/3. Answer is 1/3


Just following your logic, the possibility of the next ball being silver in the gold/silver box is 100% and 0% in the all gold box, therefore 1/3*1 + 1/3*0 = 1/3. The probability of the next ball being gold is 1/3, the probability of the next ball being silver is 1/3, so what happens to the remaining 1/3? Is it tithed?
Posted by LZ83
La
Member since Sep 2016
17446 posts
Posted on 7/24/18 at 2:38 pm to
I would think you would get better results with using your right hand everytime.
Posted by slackster
Houston
Member since Mar 2009
91873 posts
Posted on 7/24/18 at 2:40 pm to
ell, you should start a thread about the boy or girl paradox.
Posted by ell_13
Member since Apr 2013
88430 posts
Posted on 7/24/18 at 2:41 pm to
You gotta let this one die first. Another math thread will be due in a week after that.
Posted by Scooba
Member since Jun 2013
20027 posts
Posted on 7/24/18 at 2:42 pm to
quote:

But the moment you pull a gold, your chances of having another gold go up to 67% because that's the probability of pulling one of the 3 gold balls out of the same box.


Jesus, that's what I'm asking.

The moment you pull 1 gold ball from the original box you picked, your odds according to this thread are 67% that you have the Gold Gold box. So you would stay with it if given the chance to switch.

You pulling 1 ball out would change the odds out of the traditional Monty Hall favor?
Posted by LCA131
Home of the Fake Sig lines
Member since Feb 2008
77703 posts
Posted on 7/24/18 at 2:43 pm to
quote:

would think you would get better results with using your right hand everytime.


This is math, you dolt. There is no better or worse, there simply is.

fricking chick chiropractors...
Posted by ell_13
Member since Apr 2013
88430 posts
Posted on 7/24/18 at 2:43 pm to
quote:

You pulling 1 ball out would change the odds out of the traditional Monty Hall favor?
It's still technically monty hall is all I'm saying and if you want it to look traditional, you keep the box you chose closed and open one of the other boxes. We agree except for that.
This post was edited on 7/24/18 at 2:44 pm
Posted by LZ83
La
Member since Sep 2016
17446 posts
Posted on 7/24/18 at 2:45 pm to
Look here senile. If you have 6 balls and take one out there is 5 left. My 4 y/o figured that out in the first 2 pages
Posted by LCA131
Home of the Fake Sig lines
Member since Feb 2008
77703 posts
Posted on 7/24/18 at 2:46 pm to
quote:

My 4 y/o figured that out in the first 2 pages


The mere fact that you have offspring chills me for the future of this world.
Posted by CptRusty
Basket of Deplorables
Member since Aug 2011
11740 posts
Posted on 7/24/18 at 2:47 pm to
quote:

You have to use conditional probability. The probablity of picking the each box is 1/3. But the next ball also being gold also is 100% for the one with two gold balls and 0 for one with gold and silver since you already picked the only gold. So it is 1/3*1 + 1/3*0 = 1/3. Answer is 1/3




"You have to use conditional probability"

*fails to recognize conditions which change probability*
This post was edited on 7/24/18 at 2:50 pm
Posted by Scooba
Member since Jun 2013
20027 posts
Posted on 7/24/18 at 2:48 pm to
quote:

you keep the box you chose closed and open one of the other boxes.


Agreed. That would essentially be exactly the same as Monty Hall. But how does you pulling 1 gold ball out of your box change the odds?
Posted by ell_13
Member since Apr 2013
88430 posts
Posted on 7/24/18 at 2:49 pm to
quote:

But how does you pulling 1 gold ball out of your box change the odds?
Knowing you picked a gold means everything to this problem. If you picked a gold, it's more likely the second ball is gold, too. So you stick with it.
This post was edited on 7/24/18 at 2:50 pm
Posted by LZ83
La
Member since Sep 2016
17446 posts
Posted on 7/24/18 at 2:51 pm to
The odds/probability of me having another one is 0....or is it 100% not
Posted by LCA131
Home of the Fake Sig lines
Member since Feb 2008
77703 posts
Posted on 7/24/18 at 2:53 pm to
Hell the one you are raising is mine.
Posted by monkeybutt
Member since Oct 2015
4584 posts
Posted on 7/24/18 at 2:54 pm to
quote:

Hell the one you are raising is mine.




Posted by TH03
Mogadishu
Member since Dec 2008
172004 posts
Posted on 7/24/18 at 2:57 pm to
quote:

But how does you pulling 1 gold ball out of your box change the odds?


First off, it eliminates one of the boxes removing 2 silver balls from the equation. You know that if you’ve pulled a gold, it is impossible to be from the all silver box.

Second, if you’ve pulled gold, there’s a 2/3 chance that you’ve pulled from the all gold box rather than the mixed box. There were 2 chances of pulling gold from the all gold box vs 1 chance in the mixed box.

Since there was a 2/3 chance you pulled from the all gold box, your second pull still has a 2/3 chance of being from the all gold box and thus being another gold ball.

Your odds have increased due to pulling the first gold ball and shrinking the amount of possible selections.
This post was edited on 7/24/18 at 2:58 pm
Posted by Scooba
Member since Jun 2013
20027 posts
Posted on 7/24/18 at 3:01 pm to
quote:

First off, it eliminates one of the boxes removing 2 silver balls from the equation.


The host did that by showing you "what was behind door #3"
Posted by TH03
Mogadishu
Member since Dec 2008
172004 posts
Posted on 7/24/18 at 3:04 pm to
Correct.

I wasn’t following you and ell’s discussion tbh.
Posted by LZ83
La
Member since Sep 2016
17446 posts
Posted on 7/24/18 at 3:06 pm to
No wonder it’s so ugly and stupid
Posted by ell_13
Member since Apr 2013
88430 posts
Posted on 7/24/18 at 3:07 pm to
quote:

The host did that by showing you "what was behind door #3"
That's what makes this monty hall. You now know that one of the boxes you DIDN'T chose is contained completely of the opposite color.
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