Subject: probablility of a forth point being contained within a triangle

Hello I am Tracy Smith from New Brunswick, Canada
 I have one very difficult question my math teacher left our class with it is a 
question that is not assignemed for homework and does not count as an 
assignment or anything of that idea, and yes, she DOES expect us to find help  
if we decide to attmpt it, because as you will see it is rather difficult for 
an highschool student to perform. If you are either unable to answer the 
question, or do not have the time to help me I understand and accept that, but 
an effort is much appreciated. Here goes:
Four points are placed at random on a piece of paper, connect the 3 points 
which create the triangle of the largest area. What is the probability that the 
4th point is in the triangle,

Tricky eh?
Thank you for your time,
Tracy

Re: probablility of a forth point being contained within a triangle