GeoGebra: Probability Venn Diagram with Proportional Regions
Click the animation to link to GeoGebraTube
(Opens in a new window/tab).
In the latest version of this dynamic Venn diagram you have full control over the values of P(A), P(B) and P(AnB).
The orange area representing P(AnB) is dependent on the distance between the centres of the circles. But this distance is the solution of an equation that cannot be solved analytically, so the Newton-Raphson numerical method runs in the background with four iterations.