Mark Six
(Question raised by Dr. T.W. NG.) The following is some ten draws of the Mark Six Lottery in reverse order.
(i) One can always find at lease 2 drawn numbers having the same first digit.
(ii) Very often (9 out of 10 in the Table below) one can find at least 2 drawn numbers having the same last digit. Is it reasonable to have this high chance ?
For simplicity of calculation, you may assume the total number of balls is 50 instead of 49.
You can get another set of MarkSix results via here.
Draw Number |
Draw Results |
Same digit found |
1 |
![](images/09.jpg) ![](images/12.jpg) ![](images/38.jpg) ![](images/39.jpg) ![](images/40.jpg) +
|
YES |
2 |
![](images/15.jpg) ![](images/22.jpg) ![](images/24.jpg) ![](images/32.jpg) ![](images/40.jpg) +
|
YES |
3 |
![](images/05.jpg) ![](images/10.jpg) ![](images/11.jpg) ![](images/15.jpg) ![](images/17.jpg) +
|
YES |
4 |
![](images/01.jpg) ![](images/06.jpg) ![](images/25.jpg) ![](images/34.jpg) ![](images/39.jpg) +
|
NO |
5 |
![](images/07.jpg) ![](images/13.jpg) ![](images/15.jpg) ![](images/26.jpg) ![](images/39.jpg) +
|
NO |
6 |
![](images/06.jpg) ![](images/26.jpg) ![](images/30.jpg) ![](images/39.jpg) ![](images/40.jpg) +
|
YES |
7 |
![](images/04.jpg) ![](images/11.jpg) ![](images/27.jpg) ![](images/32.jpg) ![](images/44.jpg) +
|
YES |
8 |
![](images/02.jpg) ![](images/09.jpg) ![](images/13.jpg) ![](images/34.jpg) ![](images/40.jpg) +
|
NO |
9 |
![](images/09.jpg) ![](images/17.jpg) ![](images/25.jpg) ![](images/35.jpg) ![](images/38.jpg) +
|
YES |
10 |
![](images/06.jpg) ![](images/08.jpg) ![](images/11.jpg) ![](images/15.jpg) ![](images/32.jpg) +
|
YES |
|