Testing the Random Number Generator

I have some beliefs about what happens when you roll two dice, but would like to test them.

In random$\_$histogram.py$,$ we'll roll several pairs of dice and draw a simple histogram of the results.

sum$\_$two$\_$dice$()$: should generate two random integers $1$ to $6$ and return their sum.

roll$\_$dice$($num$)$: should roll num pairs of dice $($by calling sum$\_$two$\_$dice$)$ and counting the number of $2$s$,3$s$,4$s$,...,12$s rolled. It should return a list of the count of each roll that occurred $($i$.$e$.$ a list of $12$ elements that would sum to num$).$

draw$\_$histogram$($counts$)$: that takes the counts produced by the previous function, creates and image, draws the histogram $($using ImageDraw methods$),$ and returns and Image like this:

def draw$\_$histogram$($counts$)$:

img $=$ Image.new$("$RGB$",($img$\_$width, img$\_$height$))$

$...$

return img

The main part of your program should be only imports and:

rolls $=1000$

img$\_$width $=325$

img$\_$height $=250$

y$\_$per$\_$count $=1000/$ rolls

x$\_$per$\_$bar $=25$

y$\_$base $=230$

x$\_$base $=25$

counts $=$ roll$\_$dice$($rolls$)$

img $=$ draw$\_$histogram$($counts$)$

img.save$("$histo$.$png$")$

The constants defined here mean the rectangle for the "number of t rolled" will have:

x coordinates from x$\_$base $+($t $-2)*$ x$\_$per$\_$bar $($left$)$ to x$\_$base $+($t $-1)*$ x$\_$per$\_$bar $($right$)$ and

y coordinates from y$\_$base $($bottom$)$ to y$\_$base $-$ counts$[$t$]*$ y$\_$per$\_$count $($top$).$

This was the output of one run of my program: