Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,364
Hi,
I do not understand the attached video at all. As you probably see in the video below balls are being dropped from the top center. I would expect that more balls would end up in the center since after each row a ball has to go right or left so there is high change that there will be close to an even number of L and R. I am not completely lost here by any means. This is clearly pascal triangle in disguise. The position number next to each place on the table, ie on pascal triangle (at least for the places where the ball can end up at which is always on pascal triangle) represents the number of paths that will lead you there. The highest number on each row of pascal's triangle is always in the middle and tappers off as we go away from the center. Another words I would expect that where the balls finish would follow a normal distribution. But in the videos it doesn't always happen. How can this be?
Video
I do not understand the attached video at all. As you probably see in the video below balls are being dropped from the top center. I would expect that more balls would end up in the center since after each row a ball has to go right or left so there is high change that there will be close to an even number of L and R. I am not completely lost here by any means. This is clearly pascal triangle in disguise. The position number next to each place on the table, ie on pascal triangle (at least for the places where the ball can end up at which is always on pascal triangle) represents the number of paths that will lead you there. The highest number on each row of pascal's triangle is always in the middle and tappers off as we go away from the center. Another words I would expect that where the balls finish would follow a normal distribution. But in the videos it doesn't always happen. How can this be?
Video