document.write( "Question 409103: I have the the first part to this problem, I think. The tree diagram I have drawn but have no idea if it is correct. I am completely stumped on the last 2 parts. I have read and reread the material and even looked at how some of the problems are done on here. But I am still lost on this one. PLEASE HELP! I have to turn it in this evening! Thanks...\r
\n" ); document.write( "\n" ); document.write( "Problem:
\n" ); document.write( "A mini license plate for a toy car must consist of a two letters followed by a one digit odd number. Each letter must be a P, Q or a R. Repetition of letters is not permitted. \r
\n" ); document.write( "\n" ); document.write( "• Use the counting principle to determine the number of points in the sample space.
\n" ); document.write( "• Construct a tree diagram to represent this situation.
\n" ); document.write( "• List the sample space.
\n" ); document.write( "• Determine the exact probability of creating a mini license plate with a Q. Give solution exactly in reduced fraction form. \r
\n" ); document.write( "\n" ); document.write( "A) P,Q, and R = 3 ways 1 digit odd # = 5 ways
\n" ); document.write( " 3*5 = 15
\n" ); document.write( "B) tree diagram
\n" ); document.write( " 1st column P, Q, R
\n" ); document.write( " 2nd column 1,3,5,7,9 beside each letter
\n" ); document.write( "c) HELP!
\n" ); document.write( "D) Help!
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Algebra.Com's Answer #288063 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
A)\r
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\n" ); document.write( "\n" ); document.write( "# of letters possible * # of letters possible * # of odd digits\r
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\n" ); document.write( "\n" ); document.write( "= 3 * 2 * 5\r
\n" ); document.write( "\n" ); document.write( "= 6 * 5 \r
\n" ); document.write( "\n" ); document.write( "= 30\r
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\n" ); document.write( "\n" ); document.write( "So there are 30 different license plates (you're missing half of them)\r
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\n" ); document.write( "\n" ); document.write( "B)\r
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\n" ); document.write( "\n" ); document.write( "I can't draw here. \r
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\n" ); document.write( "\n" ); document.write( "C)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Sample Space\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{PQ1, PQ3, PQ5, PQ7, PQ9,
\n" ); document.write( "PR1, PR3, PR5, PR7, PR9,
\n" ); document.write( "QP1, QP3, QP5, QP7, QP9,
\n" ); document.write( "QR1, QR3, QR5, QR7, QR9,
\n" ); document.write( "RP1, RP3, RP5, RP7, RP9,
\n" ); document.write( "RQ1, RQ3, RQ5, RQ7, RQ9}\r
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\n" ); document.write( "\n" ); document.write( "D)\r
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\n" ); document.write( "\n" ); document.write( "There are 20 license plates that have a Q in them, and they are\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "{PQ1, PQ3, PQ5, PQ7, PQ9,
\n" ); document.write( "QP1, QP3, QP5, QP7, QP9,
\n" ); document.write( "QR1, QR3, QR5, QR7, QR9,
\n" ); document.write( "RQ1, RQ3, RQ5, RQ7, RQ9}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are 30 plates total. So the probability is \"20%2F30=2%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim
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