document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135997>Question 1135997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the probability that three lines drawn at random can form a triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753747 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) We are talking LINES, of infinite length -- not LINE SEGMENTS of finite length.<br><BR>\n" );
document.write( "(2) Three lines will all intersect each other, forming a triangle, UNLESS at least two of the lines are parallel.<br><BR>\n" );
document.write( "(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><BR>\n" );
document.write( "Therefore, there is a 100% probability that three lines drawn at random will form a triangle. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );