"SnakeEyes" Joe introduced a die of his own into a game of chance.
He was subsequently challenged that the die was biased.
Very
rigorously test to see if there are grounds to substantiate this claim; don't accept just two or three trial runs. Are you able to offer a theoretical model consistent with your findings?
Test "SnakeEyes" Joe's Die with this simulator which has a run of 60,000 at a time:
No:  1  2  3  4  5  6  Total 
Scores 
0 
0 
0 
0 
0 
0 
0 
Note: the data changes with each subsequent mouseover visitation to the link.
I concede.
I rewrote the script so that there was no random element but which used the same program structure.
The result was:
1 2 3 4 5 6 Total
9231 10154 10154 10154 10154 1015
3 60000
This is the appropriate section of the nonrandom listing:
function deliver()
{
t=0;u=0;v=0;w=0;x=0;y=0;// Die face counts
tn=0; // counter for value of 1 up to 10
g=0;
for (c=1;c<60000+1;c++)
{
g=g+1;
/* Following if reallocates values of 1 if count is 10 and initialises counter
*/
if (g==1 && tn==10)
{
tn=0;
g=g+1;
}
if (g==1){t++; tn++; } //tn is incremented here
if (g==2){u++; }
if (g==3){v++; }
if (g==4){w++; }
if (g==5){x++; }
if (g==6){y++;g=0; }
}
sum=t+u+v+w+x+y; // this is the value of c=60000
}
I did attempt this exercise before posting the solution just to confirm my rationale but I couldn't get there unfortunately. I shall ask levik to modify the solution in his time.
(Eigenray, I trust others understood your last comment as it totally lost me; but thanks for the discussion, I'm sure it will benefit others.)

Posted by brianjn
on 20080801 23:40:10 