Here the walls don't have much effect -- if you notice, very few beads bounce off the walls. In actual Plinko, like from the Price is Right game show, the walls matter and change the resulting distribution at the bottom. In general though, this shows that the highest probability for where the dropped beads ends up is directly below the drop location, which I think makes sense to us intuitively. But the spread around that highest probability location is a bell curve.
Yes, which could be because the surface I used wasn't completely level, or the pegs aren't perfect or equally spaced. I think you'll always get a skewed distribution for each drop. But if you were to average over many drops, the average will approach very closely a symmetric bell curve.
Great question, and "Yes". same outcome. The interaction between the balls doesn't affect the overall distribution. In fact, it might be a more "perfect" bell curve if they dropped one at a time.
We are over romanticising the normal distribution, when the outlet of those tiny balls is in middle. Try keeping the outlet to left or right, your distribution of the balls will be skewed. Bottom line: it’s not normal to have a normal distribution😉
that is the most sickest thing i've ever seen
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That is cool!
So since actual Plinko is a rectangle, not a triangle, how does it differ from actual Plinko?
Here the walls don't have much effect -- if you notice, very few beads bounce off the walls. In actual Plinko, like from the Price is Right game show, the walls matter and change the resulting distribution at the bottom. In general though, this shows that the highest probability for where the dropped beads ends up is directly below the drop location, which I think makes sense to us intuitively. But the spread around that highest probability location is a bell curve.
Binomial distribution ✨
Umm
No
@@mj_ctaso what is it mr expert? I am a physicist, i know what a binomial distribution is.
@@B4z1l. normal distribution?
it’s a bit left skewed (right leaning).
Yes, which could be because the surface I used wasn't completely level, or the pegs aren't perfect or equally spaced. I think you'll always get a skewed distribution for each drop. But if you were to average over many drops, the average will approach very closely a symmetric bell curve.
you can see the distribution is skewed a bit
Cause if real world imperfections
wow can one purchase these somehow? i found it on amazon.
What would happen if you do one ball at a time. Will it be the same outcome?
Great question, and "Yes". same outcome. The interaction between the balls doesn't affect the overall distribution. In fact, it might be a more "perfect" bell curve if they dropped one at a time.
That's what I was thinking. Dropping all the balls, they crash. That is not measured and affects the whole thing
@@dennismarin2351 crash? in the same way so consistently they form the curve that can be painted?
We are over romanticising the normal distribution, when the outlet of those tiny balls is in middle. Try keeping the outlet to left or right, your distribution of the balls will be skewed.
Bottom line: it’s not normal to have a normal distribution😉
wow! :)
So just Pascal’s triangle
We can predict outcomes in this case , by applying physics laws😅
Yes, but it’s harder. If all we care about is the statistical properties of a large ensemble of particles, the problem strangely gets easier.
How is this even possible?
Probability. And even peg spacing.
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