What is the possible results from rolling two dice and subtracting the number showing on the face of the other

Question

in such a way that a nonnegative number is obtained? What result is most likely and what is its probability?

I know you can only have numbers: 0,1,2,3,4,5
I know the answer to the probability question is that it is out of 36, but I cannot figure out how to get that 36.

Answer 1

Here is the probability distribution:
0: 6/36
1: 10/36
2: 8/36
3: 6/36
4: 4/36
5: 2/36

To see why, here is a table of all of the possibilities and of the resulting differences.

_|1 2 3 4 5 6
----------------
1| 0 1 2 3 4 5
2| 1 0 1 2 3 4
3| 2 1 0 1 2 3
4| 3 2 1 0 1 2
5| 4 3 2 1 0 1
6| 5 4 3 2 1 0
So a 1 is most likely and occurs 5/18 of the time.

Answer 2

it is out of 36 because there are 6 numbers on each dice (1 2 3 4 5 6) and if you have two dice that's 6x6, which is 36.

Answer 3

If you have Excel, you can simply create two columns with all the possible die combinations, which are 36. In the third column, you can use ABS(A1-B1) and copy it downward to get all the results.

The end result will be that 1 is the most common result, followed by 2

Answer 4

Dice don't have a 0 side. They are sided 1,2,3,4,5,6

The most likely result is 7. The probability is 1 in 6.

Answer 5

When all else fails, go to brute force. Fill out a 6 by 6 grid in Excel and calculate "abs($a2-b$1)" in the corner and drag it to fill the grid.

Answer 6

heck no im not doing your homework for you.

Answer 7

I really like that Excel idea! Thanks for the tip!