SOLUTION: Boris and Chip are playing a game with number cubes. The roll two cubes and subtract the two numbers. If the difference is 5, Boris wins. If the difference is 4, Chip wins. Is

Algebra ->  Finance -> SOLUTION: Boris and Chip are playing a game with number cubes. The roll two cubes and subtract the two numbers. If the difference is 5, Boris wins. If the difference is 4, Chip wins. Is       Log On


   

Question 1092328: Boris and Chip are playing a game with number cubes. The roll two cubes and subtract the two numbers. If the difference is 5, Boris wins. If the difference is 4, Chip wins. Is the game fair? Explain.
Found 2 solutions by Sami187, ikleyn:
Answer by Sami187(1) About Me  (Show Source):
You can put this solution on YOUR website!
Question is which one has more chances to 5 or 4?

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
								
	1	2	3	4	5	6               4	5
		 	
1	0	1	2	3	4	5		1	1
2	1	0	1	2	3	4		1	0
3	2	1	0	1	2	3		0	0
4	3	2	1	0	1	2		0	0
5	4	3	2	1	0	1		1	0
6	5	4	3	2	1	0		1	1
									
								4	2

Look in this 6x6-table. 

It has two entries: the row at the top and the column at the left.

These entries are possible values from two cubes.

The cells in the table contain values abs(row-column).

You can see that the value of 4 does present 4 times in the table,
while the value of 5 does present only 2 times.


Conclusion.  Is the game fair ?   The answer is "NO".