document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536921>Question 536921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to solve this problem. I'd appreciate the help, thank you!!\r<BR>\n" );
document.write( "\n" );
document.write( "\"A scoring possibility in a game of Yahtzee with five 6-sided dice is called a \"three of a kind,\" where three numbers are the same and the remaining two numbers are both different (eg: 5 5 5 1 4 or 2 5 2 3 2). Find the probability of rolling a three of a kind.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352655 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A scoring possibility in a game of Yahtzee with five 6-sided dice is called a \"three of a kind,\" where three numbers are the same and the remaining two numbers are both different (eg: 5 5 5 1 4 or 2 5 2 3 2). Find the probability of rolling a three of a kind.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Pick a number: 6 ways<BR>\n" );
document.write( "Pick 3 of that number on 5 dice: 5C3 = 10 ways<BR>\n" );
document.write( "Pick another number: 5 ways<BR>\n" );
document.write( "Pick yet another number: 4 ways<BR>\n" );
document.write( "Total # of ways to succeed: 6*10*5*4 = 1200<BR>\n" );
document.write( "---<BR>\n" );
document.write( " # of possible outcomes: 6^5 = 7776<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Probability of \"three of a kind\" = 1200/7776 = 0.1543<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );