Area Inside Three Circles (version 2)

Author:
Roy Wright
Topic:
Area, Circle
The area that lies inside all three circles is approximated by counting many randomly-placed points. The circles can be moved by dragging the six red points. The accuracy can be improved, in theory, by increasing the number of random points used.
How do you think the accuracy of this simpler (though perhaps less visually-pleasing) version compares to my original?