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Message started by Bobby. on Dec 1st, 2023 at 9:33pm

Title: How human intuition can be wrong:
Post by Bobby. on Dec 1st, 2023 at 9:33pm

Answer the question before watching the video.

It seems easy.

This video explains it.

https://www.youtube.com/watch?v=FUHkTs-Ipfg
exam_question.jpg (98 KB | 7 )

Title: Re: How human intuition can be wrong:
Post by Dnarever on Dec 1st, 2023 at 10:10pm

Bobby. wrote on Dec 1st, 2023 at 9:33pm:
Answer the question before watching the video.

It seems easy.

This video explains it.

https://www.youtube.com/watch?v=FUHkTs-Ipfg


I didn't believe the answer was 3 - Thought that was obvious.

The answer is 4. that isn't obvious.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 1st, 2023 at 10:16pm

Dnarever wrote on Dec 1st, 2023 at 10:10pm:

Bobby. wrote on Dec 1st, 2023 at 9:33pm:
Answer the question before watching the video.

It seems easy.

This video explains it.


I didn't believe the answer was 3 - Thought that was obvious.

The answer is 4. that isn't obvious.



But it's 3 if you roll the circle along a straight line    :)

but not around a circle!

Title: Re: How human intuition can be wrong:
Post by Dnarever on Dec 1st, 2023 at 10:50pm

Bobby. wrote on Dec 1st, 2023 at 10:16pm:

Dnarever wrote on Dec 1st, 2023 at 10:10pm:

Bobby. wrote on Dec 1st, 2023 at 9:33pm:
Answer the question before watching the video.

It seems easy.

This video explains it.


I didn't believe the answer was 3 - Thought that was obvious.

The answer is 4. that isn't obvious.



But it's 3 if you roll the circle along a straight line    :)

but not around a circle!


If you work out the circumference of both circles you get 3. This is because the error is that the effective radius of the outer circle is radius 1 plus radius 2.  i.e if the small circle radius is 2 then the second is 6. these numbers give the result of 3.

The distance between the centre point and the centre of the outer circle is 8.  R1 + R2

Formula 2 X R X Pi

It seems crazy.

Title: Re: How human intuition can be wrong:
Post by Dnarever on Dec 1st, 2023 at 10:52pm

Bobby. wrote on Dec 1st, 2023 at 10:16pm:

Dnarever wrote on Dec 1st, 2023 at 10:10pm:

Bobby. wrote on Dec 1st, 2023 at 9:33pm:
Answer the question before watching the video.

It seems easy.

This video explains it.


I didn't believe the answer was 3 - Thought that was obvious.

The answer is 4. that isn't obvious.



But it's 3 if you roll the circle along a straight line    :)

but not around a circle!


If you make the 2 circles it rotates 4 times. once per quarter.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 1st, 2023 at 10:57pm
DNA,

Quote:
It seems crazy.


Our intuition was wrong.
That is why all engineering designs have to be tested as
they are based on assumptions that sound perfect but could be wrong.

Title: Re: How human intuition can be wrong:
Post by AusGeoff on Dec 1st, 2023 at 11:16pm


Intriguing, but beyond my pay grade.    ;D

   Thanks for the link.


Title: Re: How human intuition can be wrong:
Post by Sprintcyclist on Dec 2nd, 2023 at 1:56am
that is a mathematical question, not much to do with intuition

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 5:49am

AusGeoff wrote on Dec 1st, 2023 at 11:16pm:
Intriguing, but beyond my pay grade.    ;D

   Thanks for the link.



But it's well explained in the video -
you always have to add 1 to the result because the circle causes an extra rotation.
That accounts for sidereal time on Earth being one extra day per year  i.e
not 365.25 days but 366.25 days per year.  (approx)


https://www.realclearscience.com/blog/2022/09/08/how_many_times_does_the_earth_rotate_in_one_year_the_answer_might_surprise_you_850085.html

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 5:54am

Sprintcyclist wrote on Dec 2nd, 2023 at 1:56am:
that is a mathematical question, not much to do with intuition



But even those who wrote the exam got it wrong.
Almost everyone gets it wrong.


Title: Re: How human intuition can be wrong:
Post by Bias_2012 on Dec 2nd, 2023 at 9:06am

Bobby. wrote on Dec 2nd, 2023 at 5:54am:

Sprintcyclist wrote on Dec 2nd, 2023 at 1:56am:
that is a mathematical question, not much to do with intuition



But even those who wrote the exam got it wrong.
Almost everyone gets it wrong.


The examiners got it wrong probably because they are not mechanical engineers. If they are, I wouldn't trust anything they'd design or make

My intuition told me straight away that radii shouldn't be taken into consideration, that only the curved surfaces should be considered to solve the question

However, I would have used those radii while quickly tearing out two paper circles to run the small one around the large one, to get the answer that way

The reason why the straight ribbon didn't work, is because it wasn't curved, obviously. The small circle travels a greater distance on a curved line than on a straight line

That's why the rack & pinion steering in a car is higher geared than two circular gears that have the same number of teeth, something I wish Kia had thought about when they designed the steering in my Cerato, it's way too high geared, it needs a smaller pinion






Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 10:32am

Bias_2012 wrote on Dec 2nd, 2023 at 9:06am:

Bobby. wrote on Dec 2nd, 2023 at 5:54am:

Sprintcyclist wrote on Dec 2nd, 2023 at 1:56am:
that is a mathematical question, not much to do with intuition



But even those who wrote the exam got it wrong.
Almost everyone gets it wrong.


The examiners got it wrong probably because they are not mechanical engineers. If they are, I wouldn't trust anything they'd design or make

My intuition told me straight away that radii shouldn't be taken into consideration, that only the curved surfaces should be considered to solve the question

However, I would have used those radii while quickly tearing out two paper circles to run the small one around the large one, to get the answer that way

The reason why the straight ribbon didn't work, is because it wasn't curved, obviously. The small circle travels a greater distance on a curved line than on a straight line

That's why the rack & pinion steering in a car is higher geared than two circular gears that have the same number of teeth, something I wish Kia had thought about when they designed the steering in my Cerato, it's way too high geared, it needs a smaller pinion



It shows are bad human thinking can be and
why everything needs to be checked.
Even teams of university professors can make appalling errors.

The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.



Title: Re: How human intuition can be wrong:
Post by Bias_2012 on Dec 2nd, 2023 at 11:11am

Bobby. wrote on Dec 2nd, 2023 at 10:32am:
The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.


That's correct

When you are driving your car and cut a corner, you will get around that corner quicker than the car behind that didn't cut the corner but is traveling at the same speed

Do you get it now?




Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 11:21am

Bias_2012 wrote on Dec 2nd, 2023 at 11:11am:

Bobby. wrote on Dec 2nd, 2023 at 10:32am:
The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.


That's correct

When you are driving your car and cut a corner, you will get around that corner quicker than the car behind that didn't cut the corner but is traveling at the same speed

Do you get it now?



I understand it now.
The fact that you are rotating around a circle causes the extra 1 to be added to the answer.
You can see it with 2 identical coins as shown in the video.


Title: Re: How human intuition can be wrong:
Post by Laugh till you cry on Dec 2nd, 2023 at 11:29am

Bias_2012 wrote on Dec 2nd, 2023 at 11:11am:

Bobby. wrote on Dec 2nd, 2023 at 10:32am:
The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.


That's correct

When you are driving your car and cut a corner, you will get around that corner quicker than the car behind that didn't cut the corner but is traveling at the same speed

Do you get it now?


BuyArse2012 is a genius.

Report to Chez Gordon immediately to receive a professorship in WTF Knowledge.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 11:58am

Laugh till you cry wrote on Dec 2nd, 2023 at 11:29am:

Bias_2012 wrote on Dec 2nd, 2023 at 11:11am:

Bobby. wrote on Dec 2nd, 2023 at 10:32am:
The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.


That's correct

When you are driving your car and cut a corner, you will get around that corner quicker than the car behind that didn't cut the corner but is traveling at the same speed

Do you get it now?


BuyArse2012 is a genius.

Report to Chez Gordon immediately to receive a professorship in WTF Knowledge.



Bias is a true genius  -
he's the only one who knew the answer without watching the video.

LTYC didn't know.

Title: Re: How human intuition can be wrong:
Post by Laugh till you cry on Dec 2nd, 2023 at 12:37pm

Bobby. wrote on Dec 2nd, 2023 at 11:58am:

Laugh till you cry wrote on Dec 2nd, 2023 at 11:29am:

Bias_2012 wrote on Dec 2nd, 2023 at 11:11am:

Bobby. wrote on Dec 2nd, 2023 at 10:32am:
The answer is 3 if you roll the circle along a straight line -
but not around a circle! - then it's 4.


That's correct

When you are driving your car and cut a corner, you will get around that corner quicker than the car behind that didn't cut the corner but is traveling at the same speed

Do you get it now?


BuyArse2012 is a genius.

Report to Chez Gordon immediately to receive a professorship in WTF Knowledge.



Bias is a true genius  -
he's the only one who knew the answer without watching the video.

LTYC didn't know.


BuyArse2012 has been going in circles and cutting corners all his life.

His last revolution brought him to a place where he was captured in Bobby's orbit. Bullsh!t is more powerful than gravity in Bobbyworld.

He is now bleating that his communication provider cut him off using the moron exclusion clause.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 2nd, 2023 at 4:07pm

Laugh till you cry wrote on Dec 2nd, 2023 at 12:37pm:
BuyArse2012 has been going in circles and cutting corners all his life.

His last revolution brought him to a place where he was captured in Bobby's orbit. Bullsh!t is more powerful than gravity in Bobbyworld.

He is now bleating that his communication provider cut him off using the moron exclusion clause.



forgiven for mocking a true genius.

namaste

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 2nd, 2023 at 6:47pm

Sprintcyclist wrote on Dec 2nd, 2023 at 1:56am:
that is a mathematical question, not much to do with intuition

True.

Great find Bobby.

I'm too Politically (Language) minded to be Mathematical (it's competitor on an equal platform).

I did go for my 'intuitive' aspect straight away, rather than thinking about it mathematically and both 3 & 9 seemed to cancel each other out. Bowling middle-stump at 6 also didn't 'obviously' seem right either.
So I left it at that and clicked on the clip to find out where I went wrong or right??

Personally, I would have taken legal action against the Education Board for Mental Abuse!  >:( :D

Title: Re: How human intuition can be wrong:
Post by The Grappler Truth Teller on Dec 2nd, 2023 at 10:10pm
Not 'intuition' - simple mathematics at school which most of us have long forgotten since we do not use it...

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 2nd, 2023 at 11:05pm
It took the intuition of three students though, to speak up where hundreds of thousands 'failed' to notice what truly was at hand.

Title: Re: How human intuition can be wrong:
Post by freediver on Dec 2nd, 2023 at 11:41pm
This is the hardest part of maths (or science/engineering) - trying to model a real problem as a mathematical one. At school we are taught to solve equations, but not to create them. We are taught to solve an equation, then spoon fed a problem to match it.

Or, you could just visualise it. Or draw it out.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 5:20am

freediver wrote on Dec 2nd, 2023 at 11:41pm:
This is the hardest part of maths (or science/engineering) - trying to model a real problem as a mathematical one. At school we are taught to solve equations, but not to create them. We are taught to solve an equation, then spoon fed a problem to match it.

Or, you could just visualise it. Or draw it out.



Did you get it right?

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 6:41am
You look at the locus of the centre of Circle A and the answer is obvious—the centre of circle A describes a circle around circle B. Radius of this circle is 3 + 1.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 6:45am

Jovial Monk wrote on Dec 3rd, 2023 at 6:41am:
You look at the locus of the centre of Circle A and the answer is obvious—the centre of circle A describes a circle around circle B. Radius of this circle is 3 + 1.



Easy to say after you watched the video.   ::)

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 7:02am
Never watched the video idiot!

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 7:17am

Jovial Monk wrote on Dec 3rd, 2023 at 7:02am:
Never watched the video idiot!



Listen poof -

when you move the first circle around the 2nd circle it automatically makes a rotation
as it rolls around - not just moves around.
that's what adds the extra rotation.   ::)

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 8:19am
That is what I said you blithering booby! The centre of Circle A moves in a locus that is a circle with a radius the sum of radiusA + radiusB.

If you knew any math you would know I am right.

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 9:22am

Jovial Monk wrote on Dec 3rd, 2023 at 7:02am:
Never watched the video idiot!


Hence why we know you're full of it and a wannabe intellectual.  ;D

Great Topic Bobby. Good find.

Title: Re: How human intuition can be wrong:
Post by freediver on Dec 3rd, 2023 at 9:24am

Bobby. wrote on Dec 3rd, 2023 at 5:20am:

freediver wrote on Dec 2nd, 2023 at 11:41pm:
This is the hardest part of maths (or science/engineering) - trying to model a real problem as a mathematical one. At school we are taught to solve equations, but not to create them. We are taught to solve an equation, then spoon fed a problem to match it.

Or, you could just visualise it. Or draw it out.



Did you get it right?


I read the answer here before even thinking about it.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 11:54am

Jasin wrote on Dec 3rd, 2023 at 9:22am:

Jovial Monk wrote on Dec 3rd, 2023 at 7:02am:
Never watched the video idiot!


Hence why we know you're full of it and a wannabe intellectual.  ;D

Great Topic Bobby. Good find.



Thanks JaSin.
It's a good party trick too -
you can prove it with 2 identical coins.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 11:55am

freediver wrote on Dec 3rd, 2023 at 9:24am:

Bobby. wrote on Dec 3rd, 2023 at 5:20am:

freediver wrote on Dec 2nd, 2023 at 11:41pm:
This is the hardest part of maths (or science/engineering) - trying to model a real problem as a mathematical one. At school we are taught to solve equations, but not to create them. We are taught to solve an equation, then spoon fed a problem to match it.

Or, you could just visualise it. Or draw it out.



Did you get it right?


I read the answer here before even thinking about it.



forgiven for not following the instructions in the first post.

namaste

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 12:52pm

Jasin wrote on Dec 3rd, 2023 at 9:22am:

Jovial Monk wrote on Dec 3rd, 2023 at 7:02am:
Never watched the video idiot!


Hence why we know you're full of it and a wannabe intellectual.  ;D

Great Topic Bobby. Good find.


Except I got it right in 1 second.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:05pm

Jovial Monk wrote on Dec 3rd, 2023 at 12:52pm:

Jasin wrote on Dec 3rd, 2023 at 9:22am:

Jovial Monk wrote on Dec 3rd, 2023 at 7:02am:
Never watched the video idiot!


Hence why we know you're full of it and a wannabe intellectual.  ;D

Great Topic Bobby. Good find.


Except I got it right in 1 second.



Only 3 students got it right out of perhaps 1 million who took the test -
they informed the University that the exam answers were all wrong.
I call bullshit on your claim.

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 1:15pm
It was a locus problem as I saw immediately. The radius was obvious.

Agree, high school dropout?

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:17pm

Jovial Monk wrote on Dec 3rd, 2023 at 1:15pm:
It was a locus problem as I saw immediately. The radius was obvious.

Agree, high school dropout?



You're a bullshit artist Monk -
human intuition said the answer was 3 -
even the University professors were fooled.

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 1:18pm
I never thought the answer was three. I saw it was a locus problem and worked out the locus. You see, I am not stupid unlike you, HS dropout.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:20pm

Jovial Monk wrote on Dec 3rd, 2023 at 1:18pm:
I never thought the answer was three.
I saw it was a locus problem and worked out the locus. You see, I am not stupid unlike you, HS dropout.


Monk,
you're a compulsive liar - you chose 3.

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 1:29pm
O Hail Caesar Monk.
He who figured it all out in 1 second like the Mathmatician he is.  ;D

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 1:35pm
That problem I did.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:36pm

Jasin wrote on Dec 3rd, 2023 at 1:29pm:
O Hail Caesar Monk.
He who figured it all out in 1 second like the Mathmatician he is.  ;D



Monk is brighter than a team of university professors -

only 3 people in 1 million got it right.   ::)


Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 1:44pm
There you go, now 4 people got it right.

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 1:46pm

Bobby. wrote on Dec 3rd, 2023 at 1:36pm:

Jasin wrote on Dec 3rd, 2023 at 1:29pm:
O Hail Caesar Monk.
He who figured it all out in 1 second like the Mathmatician he is.  ;D



Monk is brighter than a team of university professors -

only 3 people in 1 million got it right.   ::)

Monk is licking himself where it matters again.  ;) ;D

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:46pm
Started a poll:

Does anyone believe that Monk knew the correct answer?




Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 1:50pm
Everyone knows Monk is a habitual liar who blathers without a care in the hope someone will give him the attention he craves.
Monk hounds Bobby the most, because he knows Bobby will always 'forgive him'. He calls Bobby his favourite 'sucka'.

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 1:51pm
Poll is senseless—too few people here. An opinion poll is no way to answer a mathematical problem.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 1:57pm

Jasin wrote on Dec 3rd, 2023 at 1:50pm:
Everyone knows Monk is a habitual liar who blathers without a care
in the hope someone will give him the attention he craves.
Monk hounds Bobby the most, because he knows Bobby will always 'forgive him'.
He calls Bobby his favourite 'sucka'.



As a Christian I have to forgive Monk all the time - and that is hard to do.   :-[



Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 2:05pm
We know you are no christian!

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 2:41pm

Bobby. wrote on Dec 3rd, 2023 at 1:57pm:

Jasin wrote on Dec 3rd, 2023 at 1:50pm:
Everyone knows Monk is a habitual liar who blathers without a care
in the hope someone will give him the attention he craves.
Monk hounds Bobby the most, because he knows Bobby will always 'forgive him'.
He calls Bobby his favourite 'sucka'.



As a Christian I have to forgive Monk all the time - and that is hard to do.   :-[

Well you're a 'sucka' for being so then.
Being a Christian makes you an exploitable commodity for Monk to enjoy.
Would you forgive him, as a 'Christian' if he stole all your money, bum-raped you, slept with your wife and daughters and made you his attention-slave?

Title: Re: How human intuition can be wrong:
Post by Jovial Monk on Dec 3rd, 2023 at 2:45pm
Don’t worry, Booby is no christian and gives fake forgiveness instead of apologies.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 2:46pm

Jasin wrote on Dec 3rd, 2023 at 2:41pm:

Bobby. wrote on Dec 3rd, 2023 at 1:57pm:

Jasin wrote on Dec 3rd, 2023 at 1:50pm:
Everyone knows Monk is a habitual liar who blathers without a care
in the hope someone will give him the attention he craves.
Monk hounds Bobby the most, because he knows Bobby will always 'forgive him'.
He calls Bobby his favourite 'sucka'.



As a Christian I have to forgive Monk all the time - and that is hard to do.   :-[

Well you're a 'sucka' for being so then.
Being a Christian makes you an exploitable commodity for Monk to enjoy.
Would you forgive him, as a 'Christian' if he stole all your money, bum-raped you, slept with your wife and daughters and made you his attention-slave?



No - I think I'd be like Russell:


https://www.youtube.com/watch?v=QPFKpyPrD_k

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 2:51pm
Then put an end to Monk once and for all.
Until then, you're his christian biatch who forgives him always.

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 2:55pm

Jasin wrote on Dec 3rd, 2023 at 2:51pm:
Then put an end to Monk once and for all.
Until then, you're his christian biatch who forgives him always.



Then I will have my vengeance, in this life or the next. ;D

Title: Re: How human intuition can be wrong:
Post by Ja-Sindarin on Dec 3rd, 2023 at 2:57pm
Gutless!  ;D

Monk has you under his thumb, like he ripped Aussie off both in $60 and no cake.  ;D

Title: Re: How human intuition can be wrong:
Post by Bobby. on Dec 3rd, 2023 at 3:01pm

Jasin wrote on Dec 3rd, 2023 at 2:57pm:
Gutless!  ;D

Monk has you under his thumb, like he ripped Aussie off both in $60 and no cake.  ;D



Monk deserves nothing.    ;D

Title: Re: How human intuition can be wrong:
Post by Bobby. on Jan 14th, 2024 at 7:49am
Here's another one:


https://media.gab.com/system/media_attachments/files/156/939/341/playable/1eb8e96b1df01005.mp4


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