Develop probability distributions: Theoretical probabilities

A board game has players roll two dice — one

6

-sided and one

4

-sided — and subtract the numbers showing on the faces. The game only looks at non-negative differences. For example, if a player rolls a

1

and a

4

, the difference is

3

Here is the sample space showing the possible (equally likely) outcomes of a single roll:

$_{1^{st} die} ╲^{2^{nd} die}$ ‍	$1$ ‍	$2$ ‍	$3$ ‍	$4$ ‍
$1$ ‍	$0$ ‍	$1$ ‍	$2$ ‍	$3$ ‍
$2$ ‍	$1$ ‍	$0$ ‍	$1$ ‍	$2$ ‍
$3$ ‍	$2$ ‍	$1$ ‍	$0$ ‍	$1$ ‍
$4$ ‍	$3$ ‍	$2$ ‍	$1$ ‍	$0$ ‍
$5$ ‍	$4$ ‍	$3$ ‍	$2$ ‍	$1$ ‍
$6$ ‍	$5$ ‍	$4$ ‍	$3$ ‍	$2$ ‍

Which graph represents the theoretical probability distribution of the differences?

Precalculus