/sci/ - Science & Math

I like to come up with maths problems by myself and then try to solve them. Here's what I came up with recently.

>pick three uniformly random points from a square, connect them with lines to make a triangle
>repeat two more times so you have three triangles now inside the square
>pick one more random point inside the square
>the problem is as follows, what is the probability that the final point lies inside of all of the three triangles simultaneously