DISCLAIMER: THOUGHT INDUCING MATERIAL INSIDE

3,111 Views | 133 Replies | Last: 16 yr ago by Red Skye
Hagen95
How long do you want to ignore this user?
AG
I have deduced that howdy is now trolling...
howdydamnit04
How long do you want to ignore this user?
AG
No I really am not.

Their "logic" is illogical.
aTmAg
How long do you want to ignore this user?
AG
Imagine if you had to pick one door out of a thousand. After you picked your door, every door except your pick and one other door were revealed to be empty. Would you switch then? I’d sure hope so.
first down down
How long do you want to ignore this user?
AG
Say you pick A. You can also assign 2/3 probability to A and B (or A and C for that matter, not just A and B). If the host removes C, what does that do to the odds? I can't explain eloquently, but I think that gets to the root of the problem. You can assign the 2/3 probability to any two of the three.
first down down
How long do you want to ignore this user?
AG
why switch ATM? because your door has beaten the odds 998 times you don't think it can beat the odds again? opening each door is a separate, unrelated event.
Rex Racer
How long do you want to ignore this user?
AG
If you play the card game, you'll see that we're right. But you won't because you don't want to be proven wrong.
opie03
How long do you want to ignore this user?
(edit) Forget it. ATMag hit the nail on the head. (/edit)

If you are unwilling to test yourself with the cards, you will be admitting to be a troll.

-------------------------------------------------------
If you can read this, thank a teacher.
If you can read this in English, thank a Soldier.

[This message has been edited by opie03 (edited 10/18/2005 3:22p).]
howdydamnit04
How long do you want to ignore this user?
AG
Guys... you arent going to convince me. Eliminating 1 automatically wrong door is pointless. There is 1 correct and 1 wrong. There lies your choice.
Hagen95
How long do you want to ignore this user?
AG
A + B + C

1/3 + 1/3 + 1/3 = 1 First odds

You choose A and B is revealed as not having the car. You are still sitting at 1/3 with A but the 2/3 chance that you are wrong is now all on C. So if you switch, you now have a 2/3 chance of being correct vs your original 1/3.

1/3 + 0/3 + 2/3 = 1 Second odds
DanTheMan55
How long do you want to ignore this user?
In order for there to be 1/3 odds. There would have to be a 1/3 chance that the first door chosen actually has the prize behind it. It seems in this example the first door is always empty. So that means theres really only 2 doors that have a chance to win hence 50%

Does this make any sense? Someone explain, I am curious.
howdydamnit04
How long do you want to ignore this user?
AG
Playing the card game and getting anything but my answer proves you arent doing it randomly. Sorry guys I know my statistics. You have faulty logic when you know 1 of 2 remaining is going to be eliminated and then switching.

If you choice the correct one off the bat, 1 of the 2 remaining is STILL ELIMINATED.
Rex Racer
How long do you want to ignore this user?
AG
Thanks, Hagen95. I thought just explaining it would be clearer than using equations, but that is exactly correct.
howdydamnit04
How long do you want to ignore this user?
AG
dan... that is exactly what I am saying.
ttuoilman
How long do you want to ignore this user?
howdy,

in response to your two door theory. If they "tested" the door not chosen and then asked if you wanted to switch then obviously you would get it correct 100% of the time. the whole point is the "test"

it is very counterintuitive, but it makes some sense.
RockOn
How long do you want to ignore this user?
PA = 1/3
PnotA = 2/3

its that simple.
howdydamnit04
How long do you want to ignore this user?
AG
quote:
A + B + C

1/3 + 1/3 + 1/3 = 1 First odds

You choose A and B is revealed as not having the car. You are still sitting at 1/3 with A but the 2/3 chance that you are wrong is now all on C. So if you switch, you now have a 2/3 chance of being correct vs your original 1/3.

1/3 + 0/3 + 2/3 = 1 Second odds


No because during the first choice it is

A + B + C
1/3 + 1/3 + 1/3 = 1

The fact that one of the two not chosen is elimated does NOT make make the other jump to 2/3s. That is asinine.
Rex Racer
How long do you want to ignore this user?
AG
quote:
In order for there to be 1/3 odds. There would have to be a 1/3 chance that the first door chosen actually has the prize behind it. It seems in this example the first door is always empty. So that means theres really only 2 doors that have a chance to win hence 50%
That's what your intuition tells you, but it is wrong. Try the card game.
DanTheMan55
How long do you want to ignore this user?
But the first door that the "host" chooses doesnt really have 1/3 odds, because it never wins...

Right?

So then the 1/3 + 1/3 + 1/3 thing doesnt hold up.

AeroAg96
How long do you want to ignore this user?
AG
The best explanation was done by aTmAg.

Forget about it in terms of 3 doors... Think of it terms of 100 or 1000 doors. If you pick one and all of the doors minus the one you picked and one other door are revealed to be empty, you would be crazy not to switch to the other door. The odds are overwhelmingly in your favor if you switch your choice.


Try the card game and track what your results. You will win twice as often by switching. Trust me.
Rex Racer
How long do you want to ignore this user?
AG
quote:
The fact that one of the two not chosen is elimated does NOT make make the other jump to 2/3s. That is asinine.
But entirely correct.
AeroAg96
How long do you want to ignore this user?
AG
Dan, the host will get it right 1/3 of the time. Point being that the other door will be correct the other 2/3 of the time.
DanTheMan55
How long do you want to ignore this user?
Ok, im about to do the card thing. Do you have to know which one to take out on the first one.

What if that one wins?
Hagen95
How long do you want to ignore this user?
AG
quote:
That is asinine.



Mark that for later.

I can get you the mathematical proof if you really want it. This has been discussed for over 30 years. Do you think you're discovering some new truth here or something?
howdydamnit04
How long do you want to ignore this user?
AG
I give up. This is a no win situation, because I can not explain it any simpler.
howdydamnit04
How long do you want to ignore this user?
AG
I can probably find a mathematic proof that shows it is wrong, since this has been debated for 30 years appearenty.
first down down
How long do you want to ignore this user?
AG
A + B + C = 1

1/3 + 1/3 + 1/3 = 1

If B = 0/3, then A + C = 1

You're assuming C = 2/3 because that's how you choose to group them. If you initially say there is 2/3 chance that the right answer is A or B, you pick A, and B is removed, the odds of A then become 2/3!
howdydamnit04
How long do you want to ignore this user?
AG
I will make my last point the quote that proves us all wrong...

quote:
Now, a clever man would put the poison into his own goblet, because he would know that only a great fool would reach for what he was given. I am not a great fool, so I can clearly not choose the wine in front of you. But you must have known I was not a great fool, you would have counted on it, so I can clearly not choose the wine in front of me.
AeroAg96
How long do you want to ignore this user?
AG
Howdy:

If you had 100 doors and you chose one... you would agree that you have 1/100 chance of being correct right? That means there is 99/100 chance that one of the other doors is the right one.

Revealing the 98 other doors as empty does not change the odds! You still have a 1/100 chance of having chosen the correct door the first time. While the other door has a 99/100 chance of being the right one.
DanTheMan55
How long do you want to ignore this user?
OK i did the cards 15 times(i know its not much of a sample)

Host won 5 times
when i switched i won 4 times and lost once
when i didnt switch i didnt win 4 times and won 1 time

SO i guess this is kinda proving the theory right, although i still dont understand it.
Pwn3d!
How long do you want to ignore this user?
When you always switch, you only lose when you had the car picked with your first choice, in which case switching gets you off the car.
This happens 1/3 of the time, the other 2/3 of the time you win.
DanTheMan55
How long do you want to ignore this user?
i dont see what the doors has to do with it?

What if the 63rd door has it behind it
DanTheMan55
How long do you want to ignore this user?
Pwned.... but 1/3 of the time the one that is revealed first will win.

Right?
Bighamp03
How long do you want to ignore this user?
AG
The 1/1000 example really hits it home. I believed it at first, but I didn't "get it" until then. It makes sense now.
Hagen95
How long do you want to ignore this user?
AG
Well if we're using Vizzini as our argument base.

Howdy: INCONCEIVABLE.
Texags: You keep using that word. I do not think it means what you think it means.
first down down
How long do you want to ignore this user?
AG
quote:
If you had 100 doors and you chose one... you would agree that you have 1/100 chance of being correct right?


What if your choice was the right one? then when there are two cards left, yours has a 100/100 chance of being the winner and the other card has a 0/100 chance of winning, why would you switch?

It seems we're assuming our first choice is always wrong.
 
×
subscribe Verify your student status
See Subscription Benefits
Trial only available to users who have never subscribed or participated in a previous trial.