document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062818>Question 1062818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lenght of the sides of a triangle are decided by throwing a die thrice, the probability that the triangle is an isosceles triangle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677837 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> want the probability that in three throws of a die, two of the throws will have the same number.<BR>\n" );
document.write( "There are 216 outcomes<BR>\n" );
document.write( "There are 6 ways exactly two will occur:11,22,33,44,55,66<BR>\n" );
document.write( "The third number is not the same with probability 5/6<BR>\n" );
document.write( "Therefore, it is 6*(5/6)(1/6)(1/6)=5/36<BR>\n" );
document.write( "That would be 30 outcomes in 216 trials<BR>\n" );
document.write( "211,311,411,511,611<BR>\n" );
document.write( "122,322,422,522,622, etc.<BR>\n" );
document.write( "An equilateral triangle is a special case of an isosceles triangle.<BR>\n" );
document.write( "So we need to add the 6 cases where all numbers are the same: 111,222,etc.<BR>\n" );
document.write( "There are now 36 outcomes in 216 trials or a probability of 1/6. </SPAN>\n" );
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