# Brain teasers

**URL:** <https://forum.kirupa.com/t/brain-teasers/64782>\
**Category:** random\
**Created:** [September 19, 2004, 11:30pm UTC](https://forum.kirupa.com/t/brain-teasers/64782 "2004-09-19T23:30:48Z")\
**Posts on this page:** 20\
**Page:** 3

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 6:40pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/41 "2004-09-20T18:40:42Z")

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it’s calculated as follows:  
wanted ones divided by possible ones.  
then you have to multiply the results of each time you drew.

first draw: 1/4  
second draw: 1/3

1/4 \* 1/3 = 1/12

1/12 is the result.

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 6:43pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/42 "2004-09-20T18:43:11Z")

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That includes duplicates though, right? ie 1 & 2 vs 2 & 1

jtnw

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 7:10pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/43 "2004-09-20T19:10:09Z")

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actually the likelihood of them being the same (without regard for one color or the other) is 1/3, had you asked what is the likelihood of them both being red, then it would have been 1/12th. As the question is asked the first card doesn’t really count, as it just determines what the other card has to be in order to match.

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 7:26pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/44 "2004-09-20T19:26:47Z")

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Paradox is right. The answer is 1/3. Lots of people say 1/4 or 1/2.

You can do the same with children. If a couple have two children and one of them is a boy, what is the likelihood that the other is a boy as well. That answer is 1/3 as well.

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:15pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/45 "2004-09-20T21:15:41Z")

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nother one fer u fellas  
A man is wearing black. Black shoes, socks, trousers, jumper,  
gloves, and balaclava. He is walking down a black street  
with all the street lamps off. A black car is coming toward him  
with its lights off too, but somehow manages to stop in time. How  
did the driver see the man?

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:19pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/46 "2004-09-20T21:19:07Z")

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It’s daytime. 😉

jtnw

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:21pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/47 "2004-09-20T21:21:53Z")

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He didn’t, the man was walking on the sidewalk and was never in any kind of danger… duh :sigh:

😛

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:24pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/48 "2004-09-20T21:24:02Z")

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nice one how did you noe jtnw  
arrite another one for you peeps  
How would you rearrange the letters in the words new door to make one  
word? Note: There is only one correct answer.

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:38pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/49 "2004-09-20T21:38:40Z")

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azzy, I’ve heard most of these before. I know the new door one, but I’ll let others have a chance at it.

jtnw

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:44pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/50 "2004-09-20T21:44:25Z")

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Just arrange them and make “one word”?

as in “new door” —\> _arranges_ ----\> “one word” :beam:

:bad:

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<div class="post-metadata">

**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 9:56pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/51 "2004-09-20T21:56:49Z")

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ding ding ding we have a winner

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<div class="post-metadata">

**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 10:09pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/52 "2004-09-20T22:09:27Z")

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> [@Hans Kilian](#):
>
> Paradox is right. The answer is 1/3. Lots of people say 1/4 or 1/2.
> 
> You can do the same with children. If a couple have two children and one of them is a boy, what is the likelihood that the other is a boy as well. That answer is 1/3 as well.

No it’s not, it’s 1/2 😛  
It’s either a boy or a girl.

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<div class="post-metadata">

**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 10:22pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/53 "2004-09-20T22:22:33Z")

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arrite men heres another one.  
three ants were going under a door and two or them could pass by. why coudnt the third one go

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 10:53pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/54 "2004-09-20T22:53:07Z")

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Someone opened the door 😜

I didn’t understand the sentence in the first place :ne:

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 20, 2004, 11:20pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/55 "2004-09-20T23:20:24Z")

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no you silly the third ant was wearing high heel sandals

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 21, 2004, 3:42am UTC](https://forum.kirupa.com/t/brain-teasers/64782/56 "2004-09-21T03:42:08Z")

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because it was really really fat?

because it had claustrophobia?

=)

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 21, 2004, 3:16pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/57 "2004-09-21T15:16:46Z")

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> [@Yeldarb](#):
>
> No it’s not, it’s 1/2 😛  
> It’s either a boy or a girl.

The trick is in the wording. If you said ‘If the first child is a boy, what is the chance that both of the children are boys?’, then the answer is 1/2.

But when you say ‘If one of the children is a boy, what is the chance that both the children are boys?’, then the answer is 1/3.

There are four equally likely combinations that you can have 2 children.

1. first child is a boy, second child is a boy
2. first child is a boy, second child is a girl
3. first child is a girl, second child is boy
4. first child is a girl, second child is girl

In three of the combinations, one of the children is a boy (1, 2 and 3). But only in one of the three (no. 1) are both children boys. So the answer is 1/3.

I have a mate that still - after several years - insists that the answer is 1/2 🙂

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 21, 2004, 3:24pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/58 "2004-09-21T15:24:25Z")

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> [@Hans Kilian](#):
>
> But when you say ‘If one of the children is a boy, what is the chance that both the children are boys?’, then the answer is 1/3.
> 
> There are four equally likely combinations that you can have 2 children.
> 
> 1. first child is a boy, second child is a boy
> 2. first child is a boy, second child is a girl
> 3. first child is a girl, second child is boy
> 4. first child is a girl, second child is girl  
> I have a mate that still - after several years - insists that the answer is 1/2 🙂

I insist it to be 1/2 as well!

the 2nd and the 3rd are identical! IF you have 1 boy then the next one can be either a boy or a girl… it doesn’t matter if the boy is the “first” or the “second” one.

ok…  
If the “first” one is a boy then you’re left with variants 1 and 2 (SEE? only 2!), if the boy is the “second” one then you’re left with varianbts 3 and 1 (oh look! 2 again!) … so the answer is definitely 1/2 😜

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 21, 2004, 3:38pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/59 "2004-09-21T15:38:04Z")

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> [@Hans Kilian](#):
>
> The trick is in the wording. If you said ‘If the first child is a boy, what is the chance that both of the children are boys?’, then the answer is 1/2.
> 
> But when you say ‘If one of the children is a boy, what is the chance that both the children are boys?’, then the answer is 1/3.
> 
> There are four equally likely combinations that you can have 2 children.
> 
> 1. first child is a boy, second child is a boy
> 2. first child is a boy, second child is a girl
> 3. first child is a girl, second child is boy
> 4. first child is a girl, second child is girl
> 
> In three of the combinations, one of the children is a boy (1, 2 and 3). But only in one of the three (no. 1) are both children boys. So the answer is 1/3.
> 
> I have a mate that still - after several years - insists that the answer is 1/2 🙂

Nice one 🙂 Very tricky.

Here’s one of my favorite:  
I have 5 hats in my hands. 3 of them are white, 2 of them are black. In front of me are standing Senocular, Kirupa and Lostinbeta. I put one hat on each head, so that they can see the color of the other people’s hat but not their own. I ask them what the color of their hat is.  
Senocular, seeing a white hat on Kirupa’s head and a white hat on Lost’s head, and noticing that neither of them can answer the question, says “I’m wearing a white hat”. Now how did he know that ?

PS: This brain teaser assumes that Senocular is a bit more clever than his 2 contestants :love:

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**Author:** ![system](https://canada1.discourse-cdn.com/flex011/uploads/kirupa/original/3X/6/2/621e5c11736f46532526e61be85940af4230f3e5.png) [@system](https://forum.kirupa.com/u/system)\
**Post date:** [September 21, 2004, 3:45pm UTC](https://forum.kirupa.com/t/brain-teasers/64782/60 "2004-09-21T15:45:41Z")

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um, you’re still holding the 2 black hats and sen notices that? =)

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