document.write( "Question 490313: can someone help me?
\n" ); document.write( "a mini license plate for a toy car must consist of 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.
\n" ); document.write( "a)use the counting principle to determine the number of points in the sample space.
\n" ); document.write( "b)construct a tree diagram to determine the number of points in the sample space.( i am having horrible trouble trying to do a tree diagram.)
\n" ); document.write( "c)list the sample space.
\n" ); document.write( "d)determine the exact probability of creating a mini license plate with a Q. give solution exactly in reduced fraction form.
\n" ); document.write( "any help with this is much appreciated.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #333985 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a mini license plate for a toy car must consist of 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.
\n" ); document.write( "------
\n" ); document.write( "# of ways to arrange the letters: 3! = 6
\n" ); document.write( "# of ways to select an odd digit: 5
\n" ); document.write( "=====
\n" ); document.write( "a)use the counting principle to determine the number of points in the sample space.
\n" ); document.write( "Ans: 6*5 = 30
\n" ); document.write( "------------------------
\n" ); document.write( "b)construct a tree diagram to determine the number of points in the sample space.( i am having horrible trouble trying to do a tree diagram.)
\n" ); document.write( "Ans: 30
\n" ); document.write( "at ------------------
\n" ); document.write( "c)list the sample space.
\n" ); document.write( "I'll list the branch that starts with \"P\".
\n" ); document.write( "PQ1,PQ3,PQ5,PQ7,PQ9,PR1,PR3,PR5,PR7,PR9
\n" ); document.write( "--
\n" ); document.write( "Then you have 10 more that start with R
\n" ); document.write( "Then you have 10 more that start with Q
\n" ); document.write( "=============================================
\n" ); document.write( "d)determine the exact probability of creating a mini license plate with a Q.
\n" ); document.write( "give solution exactly in reduced fraction form.
\n" ); document.write( "Ans: 10/30 = 1/3
\n" ); document.write( "=======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );