If three points are chosen at random on a circle's edge, what is the probability that the triangle contains the circle's center? 
If I created a triangle with 3 random points on the outside edge of a circle, then what’s the probibility that the triangle contains the centerpoint of the circle?

Please answer in as many ways as possible. I’m only in 8th grade. You can use calculus, because my math teacher said that’s how he would solve it; however, I only know a little bit of calculus, so I would also like alternatives.
Also, I'm sorry if my question was confusing. I was having trouble with the wording.

The center will be included if the three points are not all within the same semicircle.  This question shows the chance they are within a semicircle is $\frac 34$ so the chance the center is inside your triangle is $\frac 14$
