Hi, can anyone enlighten me on this -> Why is the 'choke' point or distribution point center and not elsewhere on the 'X' Axis? Why must it be in the center where the balls are falling from? It's like we assume every matter or natural system is always centered or ideally central to 'distribute'?
Every slot gives a ball a 50/50 chance of going left or right, therefore the chances of it going right twice are 1/2 x 1/2 = 1/4. You keep going like that and you get a standard bell curve because the odds of them going to the middle are higher than them going to the sides. It's called a Galton Board
@@vagueeel823 No it s just physics, it is not binomial or normal distribution. The balls go down thanks to gravity and beacause they are launched from the center they accumulate in the center. If you launch them from the right of they will accumulate on the right, it will no more look like normal distribution.
@@iotala113 I...i mean yes it is physics, gravity is what's causing them to fall...just like everything else...and yes if you mess with the things that are controlling the movement of the balls, the things that CAUSE the 50/50 probability of them moving one way or another then they will collect in a different way. So i mean, youre not wrong? But what you said doesn't really answer the question. He was asking how it turned into a bell curve, from a statistics standpoint (which is honestly the more important factor here) the reason is because of what i said before.
I want to see a double slit experiment. I want to build one but hate the thought of separating two different color beads. How can I easily separate two different beads?
I think the reason is that binomial distribution (which approximates to normal distribution at a high number of balls) assumes that each event is independent of each other, meaning that each ball's chance of landing to the left and right should be 0.5. But events are only independent when he drops balls one by one. If he dumps them all in at once, the landing of one ball is going to depend on the landing of the previous ball because it likely hit that previous ball. Therefore, events are dependent and the binomial assumption no longer holds true.
It is not normal distribution neighter binomial distribution. It s just physics and the laws of physics are the same for each ball, they don't choose to go left or right at each pin, they just go down thanks to gravity. The balls are launch from the center of the board, so they accumulate at the center. If you launch them at the right, they will accumulate on the right, the same on the left. Because balls interact one with others and they are not perfect and pins are not pefect, balls go a little bit on the left, a little bit on the right, it's not 50/50. The first time I saw this board I was amazed, then I realize it was just a "trick"
Balls don't decide to go left or right at each pin BUT the chances to go left or right are the very likely to be the same (depending from the board execution quality); Balls also hit to each other in a overall random way.... At the end the ball SUM will be Normal distributed, with the center point aligned with release location.
if you launch the balls at the right, they will accumulate at the right because they will hit the right wall: giving you biased distribution. If there were more pegs to the right you would get the same shape.
komischerweise "sieht" das kaum einer. man sitzt davor wie das kaninchen vor der schlange und staunt, dabei ist das trivial, wie sie bemerkten. man müsste das ding 3 meter hoch bauen und dann verschiedene einstreuversuche machen. auch exzentrisch muss probiert werden. wenn sich dann jedesmal die "Gaussglocke" näherungsweise ergibt, dann staune ich auch!
I would like to see one in a 3 dimensions.
Good idea!
How would you make the pegs float?
@@lipanook Could be rendered ?
@@lipanook It would just be a stack of grids, wouldn't it?
@@jeuneNATHAN im trying that
Hi, can anyone enlighten me on this -> Why is the 'choke' point or distribution point center and not elsewhere on the 'X' Axis? Why must it be in the center where the balls are falling from? It's like we assume every matter or natural system is always centered or ideally central to 'distribute'?
Well, then the curve would be shifted to the left or to the right, but it would retain its basic shape.
Such a calming noise. I didn't want it to stop!
my statistic teacher linked this video on the test, and his face of happiness gave me reasons to finish the test
could the name of this teacher be nincen by any chance?
@@SusieBlup omg yes wow !!!1!1111!!!!1!!!!¡¡¡¡¡¡!¡¡!¡!¡¡
omg my teacher did this today too!! The coincidences of life......
@@cim23 omgggg this is so crazy!!!!!
@@cim23 life is full of surprises...
This is brillant !
Sheldon ?
normal distribution eh?
Hey aren't you from Numberphile !!!
James! One of my favorite people like ever!
But why this is happen.
Dr. Grime is the best!
What does this proof?
How normal/binomial distribution works.
looks normal to me
how can this be possible?
Every slot gives a ball a 50/50 chance of going left or right, therefore the chances of it going right twice are 1/2 x 1/2 = 1/4. You keep going like that and you get a standard bell curve because the odds of them going to the middle are higher than them going to the sides. It's called a Galton Board
@@vagueeel823 No it s just physics, it is not binomial or normal distribution. The balls go down thanks to gravity and beacause they are launched from the center they accumulate in the center. If you launch them from the right of they will accumulate on the right, it will no more look like normal distribution.
@@iotala113 I...i mean yes it is physics, gravity is what's causing them to fall...just like everything else...and yes if you mess with the things that are controlling the movement of the balls, the things that CAUSE the 50/50 probability of them moving one way or another then they will collect in a different way. So i mean, youre not wrong? But what you said doesn't really answer the question. He was asking how it turned into a bell curve, from a statistics standpoint (which is honestly the more important factor here) the reason is because of what i said before.
@@iotala113 if u move it to the right u still have a normal distribution but then more "right". If u would have a very wide array of slots.
I want to see a double slit experiment. I want to build one but hate the thought of separating two different color beads. How can I easily separate two different beads?
Not easily...
Make one type of iron or some other magnetic material and of a non mahentic metal
Kinda wanna build one!
Empanadas.
For sooo many balls, I would have expected a better fit actually.
I think he was dropping them slighltly to the left.
I think the reason is that binomial distribution (which approximates to normal distribution at a high number of balls) assumes that each event is independent of each other, meaning that each ball's chance of landing to the left and right should be 0.5. But events are only independent when he drops balls one by one. If he dumps them all in at once, the landing of one ball is going to depend on the landing of the previous ball because it likely hit that previous ball. Therefore, events are dependent and the binomial assumption no longer holds true.
@@qqtrol1774 No there is a filter thing that makes sure it goes in the middle.
@@qingyangzhang887 But why the bias to one specific side? Is there some kind of feedback loop involved?
Binomial distrib....
GG
Plinko!
It is not normal distribution neighter binomial distribution. It s just physics and the laws of physics are the same for each ball, they don't choose to go left or right at each pin, they just go down thanks to gravity. The balls are launch from the center of the board, so they accumulate at the center. If you launch them at the right, they will accumulate on the right, the same on the left. Because balls interact one with others and they are not perfect and pins are not pefect, balls go a little bit on the left, a little bit on the right, it's not 50/50.
The first time I saw this board I was amazed, then I realize it was just a "trick"
Balls don't decide to go left or right at each pin BUT the chances to go left or right are the very likely to be the same (depending from the board execution quality); Balls also hit to each other in a overall random way....
At the end the ball SUM will be Normal distributed, with the center point aligned with release location.
if you launch the balls at the right, they will accumulate at the right because they will hit the right wall: giving you biased distribution. If there were more pegs to the right you would get the same shape.
komischerweise "sieht" das kaum einer. man sitzt davor wie das kaninchen vor der schlange und staunt, dabei ist das trivial, wie sie bemerkten. man müsste das ding 3 meter hoch bauen und dann verschiedene einstreuversuche machen. auch exzentrisch muss probiert werden. wenn sich dann jedesmal die "Gaussglocke" näherungsweise ergibt, dann staune ich auch!
İt is not just a trick it is math... The math of destiny...
lol
Lol! Yay!
Is this not common sense?
Galton machine
Binomial distrib....