riddles, puzzles, and brain teazers

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#1 Sun, 03/04/2012 - 20:30
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riddles, puzzles, and brain teazers

i enjoy challenges. if you see any or have some favorites, post them up here.

 

here is one i saw the other day...

 

 

Three men go to a business convention together. When they get to the hotel, the clerk tells them the room will be $30. The men each put in $10 and go to their room.

 

After the men have gone to thier room, the clerk see's a mistake he made and realizes he over charge them. The room should have only been $25 dollars. He takes five one dollar bills from the register and heads to there room to give them their change.

 

On the way to the room, the clerk sees that there ar five dollars and three people to split it. To avoid any possible arguments amongst the guests, he decides to give each of them one dollar, and just keep the other two dollars for himself.

 

If each man paid $10 and gets one back, then they each paid $9. The clerk kept two dollars.

 

3 x 9 = 27

 

27 + 2 = 29

 

 

....where did the other dollar go?

Mon, 03/05/2012 - 02:38
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Argh.................fuck you Wamam

Mon, 03/05/2012 - 08:45 (Reply to #2)
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buckeye75 wrote:

Argh.................fuck you Wamam

 

 

i nearly shot hot coffee out my nose

Mon, 03/05/2012 - 08:08
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Spoilers below... 

 

I've seen some brain teasers like this before.  But, I'm not sure how to answer them.  The problem is that the math/logic that the question itself presents is false.  Is that the answer?  

3 x 9 = 27 = the ammount paid by the men = $25 for the hotel and $2 for the clerk.  

27 - 2 = 25 = the ammount paid to the hotel

25 + 2 (clerk embezzlement) + 3 (the rebate to the businessmen) = $30 = the original ammount paid.  

 

Mon, 03/05/2012 - 08:39
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Helping kids and teen on their home math homework, I have seen this happen many times.  Just wrong logic.  The 3 x 9 is what the businessmen are out of, and this includes the two the clerk pocketed. So, here is one my son and I worked on the other night:

 

 

 

O, T, T, F, F, S, S, E, N,

 

What comes next?

Mon, 03/05/2012 - 08:52 (Reply to #5)
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CrashX27 wrote:

Helping kids and teen on their home math homework, I have seen this happen many times.  Just wrong logic.  The 3 x 9 is what the businessmen are out of, and this includes the two the clerk pocketed. So, here is one my son and I worked on the other night:

 

 

 

O, T, T, F, F, S, S, E, N,

 

What comes next?

 

 

T

 

The letters are the beginning letters of numbers (One, Two, Three, etc).  After Nine comes Ten.

Mon, 03/05/2012 - 11:01
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This ones from a movie..but its an old movie...but then again everyone here is old..so maybe you have all seen it...but old people have shitty memories so maybe you forgot the answer. Your standing in a room with 2 doors. Both look identical in every way. You are told that opening one door will let you exit safe and the other will get you killed. There are two identical twins also in the room. They know which door is which. You are told one can only tell lies and one can only tell the truth. You have no way of knowing which is which. You are allowed one question. What do you ask to guarantee you exit the correct door?
Mon, 03/05/2012 - 12:58 (Reply to #7)
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RyanFromVegas wrote:
This ones from a movie..but its an old movie...but then again everyone here is old..so maybe you have all seen it...but old people have shitty memories so maybe you forgot the answer. Your standing in a room with 2 doors. Both look identical in every way. You are told that opening one door will let you exit safe and the other will get you killed. There are two identical twins also in the room. They know which door is which. You are told one can only tell lies and one can only tell the truth. You have no way of knowing which is which. You are allowed one question. What do you ask to guarantee you exit the correct door?

 

I loved Labyrinth

Tue, 03/06/2012 - 12:06 (Reply to #8)
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RyanFromVegas wrote:
This ones from a movie..but its an old movie...but then again everyone here is old..so maybe you have all seen it...but old people have shitty memories so maybe you forgot the answer. Your standing in a room with 2 doors. Both look identical in every way. You are told that opening one door will let you exit safe and the other will get you killed. There are two identical twins also in the room. They know which door is which. You are told one can only tell lies and one can only tell the truth. You have no way of knowing which is which. You are allowed one question. What do you ask to guarantee you exit the correct door?

 

Since one lies always and the other always tells the truth I would ask one the color of my shirt (since I know the answer). If they got it right, that one tells the truth, if its wrong, they are the liar. Once I figure that out I would ask the other twin which door to exit. I would know which door to leave because I would have learned which twin is the liar with the first question.

 

 

And for the first question ask by the O.P., the math is wrong. The 9 dollars is wrong. each person paid 10 which brings the total to 30. 25 is the new rate, which leaves 5. that would be 1.6666666 in change that should be returned. But the employee kept the three .666666 or 2 dollars.

 

25 for the room, 3 dollars change to the guys staying overnight brings the total to 28. 2 in change makes it an even 30.

Tue, 03/06/2012 - 13:31 (Reply to #9)
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newtizzle wrote:

RyanFromVegas wrote:
This ones from a movie..but its an old movie...but then again everyone here is old..so maybe you have all seen it...but old people have shitty memories so maybe you forgot the answer. Your standing in a room with 2 doors. Both look identical in every way. You are told that opening one door will let you exit safe and the other will get you killed. There are two identical twins also in the room. They know which door is which. You are told one can only tell lies and one can only tell the truth. You have no way of knowing which is which. You are allowed one question. What do you ask to guarantee you exit the correct door?

 

Since one lies always and the other always tells the truth I would ask one the color of my shirt (since I know the answer). If they got it right, that one tells the truth, if its wrong, they are the liar. Once I figure that out I would ask the other twin which door to exit. I would know which door to leave because I would have learned which twin is the liar with the first question.

 

 

And for the first question ask by the O.P., the math is wrong. The 9 dollars is wrong. each person paid 10 which brings the total to 30. 25 is the new rate, which leaves 5. that would be 1.6666666 in change that should be returned. But the employee kept the three .666666 or 2 dollars.

 

25 for the room, 3 dollars change to the guys staying overnight brings the total to 28. 2 in change makes it an even 30.

 

 

but you're only allowed to ask one question.

 

 

the question should be, "what door would the other one tell me to open to reach safety?" that way no matter what one you asked, you know it would be a lie. choose the other door.

 

if you ask the one that tells the truth, he'll give the answer the liar would tell you to open. if you ask the liar, he'll tell you the opposite of the what the truthful one would tell you, so it's still a wrong.

 

...and good call on the math.

Tue, 03/06/2012 - 13:55 (Reply to #10)
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wamam87 wrote:

newtizzle wrote:

RyanFromVegas wrote:
This ones from a movie..but its an old movie...but then again everyone here is old..so maybe you have all seen it...but old people have shitty memories so maybe you forgot the answer. Your standing in a room with 2 doors. Both look identical in every way. You are told that opening one door will let you exit safe and the other will get you killed. There are two identical twins also in the room. They know which door is which. You are told one can only tell lies and one can only tell the truth. You have no way of knowing which is which. You are allowed one question. What do you ask to guarantee you exit the correct door?

 

Since one lies always and the other always tells the truth I would ask one the color of my shirt (since I know the answer). If they got it right, that one tells the truth, if its wrong, they are the liar. Once I figure that out I would ask the other twin which door to exit. I would know which door to leave because I would have learned which twin is the liar with the first question.

 

 

And for the first question ask by the O.P., the math is wrong. The 9 dollars is wrong. each person paid 10 which brings the total to 30. 25 is the new rate, which leaves 5. that would be 1.6666666 in change that should be returned. But the employee kept the three .666666 or 2 dollars.

 

25 for the room, 3 dollars change to the guys staying overnight brings the total to 28. 2 in change makes it an even 30.

 

 

but you're only allowed to ask one question.

 

 

the question should be, "what door would the other one tell me to open to reach safety?" that way no matter what one you asked, you know it would be a lie. choose the other door.

 

if you ask the one that tells the truth, he'll give the answer the liar would tell you to open. if you ask the liar, he'll tell you the opposite of the what the truthful one would tell you, so it's still a wrong.

 

...and good call on the math.

 

Oh crap. I read that as you only get to ask one question each. not one question total. glad you answered it though, I would be up till 4 a.m. thinking about it.

Tue, 03/06/2012 - 15:09 (Reply to #11)
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NVM.

Tue, 03/06/2012 - 08:16
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Labyrinth...still gives my wife nightmares.

Tue, 03/06/2012 - 12:33
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What if the lying one told you that one told the truth and the other always lied?  Maybe then, they both lie and tell the truth whenever they fucking feel like it and both doors lead to certain death.

Tue, 03/06/2012 - 12:38
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If you want to know the answer:[color=white]Ask one of them which door the other would tell you is safe, then go out of the opposite door.[/color]

Tue, 03/06/2012 - 13:39
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Think of words that end in "gry".

"Hungry" and "Angry" are two of them.

What is the third word in the english language?

 

Tue, 03/06/2012 - 13:51 (Reply to #16)
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language?

 

here's one for someone else.  What number comes next in this sequence.

 

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211

Tue, 03/06/2012 - 21:44 (Reply to #17)
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HadOne2Many wrote:

language?

 

here's one for someone else.  What number comes next in this sequence.

 

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211

 

 

 

31131211131221

 

 

 

i think i did it right. i remember this from 6th grade. my teacher had riddles/brain teasers for us on the chalk board every morning when we showed up. 

 

i loved that class.yes

Tue, 03/06/2012 - 14:00 (Reply to #18)
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I have heard this one as the word "language" from "What is the third word in THE ENGLISH LANGUAGE".

 

I have also heard the answer as "energy" since it is not stated that it needs to be in exact order in the question. 

 

Is there a real word that ends in "gry" though that is fairly common?  I cannot think of one and I spend 10 quality toilet minutes trying to wrap my mind around one...

Tue, 03/06/2012 - 14:13
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Here is a statistics one that still makes people argue about the right answer...

 

There was an old game show when I was a kid called Let's Make A Deal.  In the show, contestants were asked to pick which of three doors they thought contained a valuable prize. Once the contestant picked a door, the host, Monty Hall, would often open one of the two doors not chosen and then ask the contestant if they would like to change their pick to the other door left unopened. The question is, should a contestant stick with their original choice, change to the other door, or there is no difference statistically?

Tue, 03/06/2012 - 14:24 (Reply to #20)
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FadeIntoBlack wrote:

Here is a statistics one that still makes people argue about the right answer...

 

There was an old game show when I was a kid called Let's Make A Deal.  In the show, contestants were asked to pick which of three doors they thought contained a valuable prize. Once the contestant picked a door, the host, Monty Hall, would often open one of the two doors not chosen and then ask the contestant if they would like to change their pick to the other door left unopened. The question is, should a contestant stick with their original choice, change to the other door, or there is no difference statistically?

Hmm, my mind says it makes no difference.  Initially there was a 33% chance of getting the best prize available.  Once the door is opened the prize behind it is off the table, so there is a 50/50 chance to get the remaining top prize.

Tue, 03/06/2012 - 15:46 (Reply to #21)
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You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

Tue, 03/06/2012 - 16:03 (Reply to #22)
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Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

Tue, 03/06/2012 - 16:20 (Reply to #23)
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newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

http://www.youtube.com/watch?v=gZEdDMQZaCU

Wed, 03/07/2012 - 00:10 (Reply to #24)
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newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

Wed, 03/07/2012 - 00:35 (Reply to #25)
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FadeIntoBlack wrote:

newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

 

Ok, so if I read this right I see it as follows:

 

You start with a 1/3 chance to get the best prize. If you choose the worst prize, they then reveal (spell check that please) the worse of the two prizes you didn't choose. Is that correct? Even if you pick the best, worst or mid one of the three, you have a 1/3 of a chance. When they eliminate the worst of the two that is left, you still dont know if that was the worst one offered or just the worst of the two left. I may be reading this wrong, but it still leaves you with a 50/50 shot in the end. Maybe I would have to read a bit more about how the show worked since I saw it when I was a kid.

Wed, 03/07/2012 - 09:18 (Reply to #26)
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newtizzle wrote:

FadeIntoBlack wrote:

newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

 

Ok, so if I read this right I see it as follows:

 

You start with a 1/3 chance to get the best prize. If you choose the worst prize, they then reveal (spell check that please) the worse of the two prizes you didn't choose. Is that correct? Even if you pick the best, worst or mid one of the three, you have a 1/3 of a chance. When they eliminate the worst of the two that is left, you still dont know if that was the worst one offered or just the worst of the two left. I may be reading this wrong, but it still leaves you with a 50/50 shot in the end. Maybe I would have to read a bit more about how the show worked since I saw it when I was a kid.

 

Basically if you switch after the remaining "worst prize" is revealed, you are guaranteed to at least get the middle-valued prize.

Wed, 03/07/2012 - 11:19 (Reply to #27)
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Zikan wrote:

newtizzle wrote:

FadeIntoBlack wrote:

newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

 

Ok, so if I read this right I see it as follows:

 

You start with a 1/3 chance to get the best prize. If you choose the worst prize, they then reveal (spell check that please) the worse of the two prizes you didn't choose. Is that correct? Even if you pick the best, worst or mid one of the three, you have a 1/3 of a chance. When they eliminate the worst of the two that is left, you still dont know if that was the worst one offered or just the worst of the two left. I may be reading this wrong, but it still leaves you with a 50/50 shot in the end. Maybe I would have to read a bit more about how the show worked since I saw it when I was a kid.

 

Basically if you switch after the remaining "worst prize" is revealed, you are guaranteed to at least get the middle-valued prize.

 

The best way to think about this is what if there were 100 doors. You pick one, Monty opens up 98 of the others leaving your door and one other. Which do you think the prize is behind? The one you randomly picked, or the one that the host  (who knows where the prize is at) left closed? You started with a 1% chance of picking the right door. You still have the 1% chance of winning with that door, while the other door has a 99% of being correct.

Wed, 03/07/2012 - 12:33 (Reply to #28)
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KingBayman wrote:

Zikan wrote:

newtizzle wrote:

FadeIntoBlack wrote:

newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

 

Ok, so if I read this right I see it as follows:

 

You start with a 1/3 chance to get the best prize. If you choose the worst prize, they then reveal (spell check that please) the worse of the two prizes you didn't choose. Is that correct? Even if you pick the best, worst or mid one of the three, you have a 1/3 of a chance. When they eliminate the worst of the two that is left, you still dont know if that was the worst one offered or just the worst of the two left. I may be reading this wrong, but it still leaves you with a 50/50 shot in the end. Maybe I would have to read a bit more about how the show worked since I saw it when I was a kid.

 

Basically if you switch after the remaining "worst prize" is revealed, you are guaranteed to at least get the middle-valued prize.

 

The best way to think about this is what if there were 100 doors. You pick one, Monty opens up 98 of the others leaving your door and one other. Which do you think the prize is behind? The one you randomly picked, or the one that the host  (who knows where the prize is at) left closed? You started with a 1% chance of picking the right door. You still have the 1% chance of winning with that door, while the other door has a 99% of being correct.

 

 

OOOhhh... so it's "Deal or No Deal"...... 

 

Why didn't somebody just say that?

Wed, 03/07/2012 - 13:16 (Reply to #29)
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newtizzle wrote:

FadeIntoBlack wrote:

newtizzle wrote:

Captain_McSweet wrote:

You should always switch. Initially, you have a 1/3 shot to pick the correct door. Once Monty opens a door, he's eliminated one wrong answer. If you stick with your original, you're still looking at 1/3, but if you switch, you now have a 1/2 shot. You get an experimental probability of 2/3 by switching, meaning that you'll win almost 67% of the time by switching.

 

... or you have shit luck, like me, and lose no matter what.

 

Eh, I dont know about that. By eliminating 1 of the 3 and you having 1 of the three may mathmatically add up to having 2/3 or 67% but it still boils down to 2 choices. So in the end its still only a 50/50 choice.  at least thats the way I see it.

 

But yeah, I would pick the free catheter for a year with my shit luck.

 

This is where people get all twisted up about it.  If you operate on the premise that you have a 1 in 3 chance, switching will give you a 2 in 3 chance (goes the theory) after the first is eliminated.  Counter-intuitive as hell, but supposedly its been backed up numerous times through experimentation.

 

Ok, so if I read this right I see it as follows:

 

You start with a 1/3 chance to get the best prize. If you choose the worst prize, they then reveal (spell check that please) the worse of the two prizes you didn't choose. Is that correct? Even if you pick the best, worst or mid one of the three, you have a 1/3 of a chance. When they eliminate the worst of the two that is left, you still dont know if that was the worst one offered or just the worst of the two left. I may be reading this wrong, but it still leaves you with a 50/50 shot in the end. Maybe I would have to read a bit more about how the show worked since I saw it when I was a kid.

 

http://en.wikipedia.org/wiki/Monty_Hall_problem

Wed, 03/07/2012 - 12:49
buckeye75's picture
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Afew years ago, this was my favorite website.  It has a ton of quizes

 

http://www.pressanykey.com/cgi-bin/funstuffmenu.cgi

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