- #36
mrspeedybob
- 869
- 65
#3
I would expect the ball numbers to be distributed randomly though the range of possible ball numbers. Since they can be put in numerical order, regardless of the order picked, then let b1 be the smallest ball, b5 be the largest ball, and t be the total number of balls.
I would expect that on average b1=t/6, b2=2t/6, b3=3t/6 etc, so the average difference between consecutive balls would be t/6
In the example you gave the differences are...
10-0=10, 50-10=40, 104-50=54, 130-104=26, and 213=130=83
The average spacing is 42.6 so I would expect the total to be 255.6
Since I can't actually have .6 balls I would have to say 256.
I would expect the ball numbers to be distributed randomly though the range of possible ball numbers. Since they can be put in numerical order, regardless of the order picked, then let b1 be the smallest ball, b5 be the largest ball, and t be the total number of balls.
I would expect that on average b1=t/6, b2=2t/6, b3=3t/6 etc, so the average difference between consecutive balls would be t/6
In the example you gave the differences are...
10-0=10, 50-10=40, 104-50=54, 130-104=26, and 213=130=83
The average spacing is 42.6 so I would expect the total to be 255.6
Since I can't actually have .6 balls I would have to say 256.