How many quadratics can be factored?

Hoping to illustrate how randomization techniques can be used in other math areas besides statistics, this is a simulation of factor. Each dot in the dot plot represents the number of trinomials that can be factored into two binomials out of 100 random trinomials with coefficients ranging from 1 to 10. There are 100 dots in the dot plot.

And this facebook post.

And this facebook post.