/sci/ - Science & Math

[Anonymous No.5269356]

can anyone explain this to a pleb like me? what does it have to do with pascal's triangle?

http://en.wikipedia.org/wiki/Talk%3ABean_machine

[Anonymous No.5269362]

See that triangle above? For any point in that triangle, there are two kinds of ways to get to it. Ways that come from the left and ways that come from the right. So if you want to know the number of ways to get to that point, you add the number of ways of getting to the point up and to the left with the number of ways of getting to the point up and to the right. That's the same thing you do when you compute Pascal's triangle. The probability of going in a particular bin is the number of ways of getting there divided by the total number of ways, so it's equal to an entry of the last row of Pascal's triangle divided by the total across that row.

[Anonymous No.5269374]

I find it pretty amazing that one of those marbles was able to bounce of every single pen to the left and end up on the left side