document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248724>Question 248724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mini license plate for a toy car must consist of a two numbers followed by a vowel. Each number must be a 3 or a 6. Repetition of digits is permitted.<BR>\n" );
document.write( "1.) Use the counting principle to determine the number of points in the sample space.<BR>\n" );
document.write( "2.) Construct a tree diagram to represent this situation.<BR>\n" );
document.write( "3.) List the sample space<BR>\n" );
document.write( "4.) Determine the exact probablility of creating a mini license plate with a 3.<BR>\n" );
document.write( "I've worked on this problem on a couple of hours and I still can't come up with the answers correctly. Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181369 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=181369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A mini license plate for a toy car must consist of a two numbers followed by a vowel. Each number must be a 3 or a 6. Repetition of digits is permitted.<BR>\n" );
document.write( "1.) Use the counting principle to determine the number of points in the sample space.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "# of ways to pick 1st number: 2<BR>\n" );
document.write( "# of ways to pick 2nd number: 2<BR>\n" );
document.write( "# of ways to pick a vowel: 5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of points in the sample space: 2*2*5 = 20<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "2.) Construct a tree diagram to represent this situation.<BR>\n" );
document.write( "1st column: a 3 and a 6<BR>\n" );
document.write( "2nd column: a 3 and 6 to right of 3 and a 3 and 6 to right of 6<BR>\n" );
document.write( "3rd column: a,e,i,o,u to the right of each level of column 2.<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "3.) List the sample space<BR>\n" );
document.write( "33a,33e,33i,33o,33u<BR>\n" );
document.write( "36a,36e,36i,36o,36u<BR>\n" );
document.write( "63a,63e,...<BR>\n" );
document.write( "66a,66e,...\r<BR>\n" );
document.write( "\n" );
document.write( "4.) Determine the exact probablility of creating a mini license plate with a 3.<BR>\n" );
document.write( "# of ways to succeed: 15<BR>\n" );
document.write( "# of possible outcomes: 20<BR>\n" );
document.write( "P(getting a 3) = 15/20 = 3/4<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );