Question 1135997: what is the probability that three lines drawn at random can form a triangle Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52797) (Show Source):
(1) We are talking LINES, of infinite length -- not LINE SEGMENTS of finite length.
(2) Three lines will all intersect each other, forming a triangle, UNLESS at least two of the lines are parallel.
(3) The slope of a line can be any real number (or undefined); if the three lines are drawn at random, the probability that any two of them have EXACTLY the same slope is 0.
Therefore, there is a 100% probability that three lines drawn at random will form a triangle.
