Posted by Brad Paul on September 24, 2002 at 16:03:43:
In Reply to: Inscribed Triangle posted by Ann on September 24, 2002 at 15:44:23:
: If one has a triangle inscribed in a circle, what's the probability that the triangle doesn't contain the origin?
The first point can be anywhere. (p1=1)
The second point can be anywhere. (p2=1)
But the third point must be on the same side as the first two. (p3=.5)
Note the first two points define the side the 3rd point must be on.
Therefore
P=p1 * p2 * p3=.5