Question 1135997
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(1) We are talking LINES, of infinite length -- not LINE SEGMENTS of finite length.<br>
(2) Three lines will all intersect each other, forming a triangle, UNLESS at least two of the lines are parallel.<br>
(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.<br>
Therefore, there is a 100% probability that three lines drawn at random will form a triangle.