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...
Problem:
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.
• Use the counting principle to determine the number of points in the sample space.
• Construct a tree diagram to represent this situation.
• List the sample space.
• Determine the exact probability of creating a mini license plate with a Q. Give solution exactly in reduced fraction form.
A) P,Q, and R = 3 ways 1 digit odd # = 5 ways
3*5 = 15
B) tree diagram
1st column P, Q, R
2nd column 1,3,5,7,9 beside each letter
c) HELP!
D) Help!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! A)
# of letters possible * # of letters possible * # of odd digits
= 3 * 2 * 5
= 6 * 5
= 30
So there are 30 different license plates (you're missing half of them)
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B)
I can't draw here.
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C)
Sample Space
{PQ1, PQ3, PQ5, PQ7, PQ9,
PR1, PR3, PR5, PR7, PR9,
QP1, QP3, QP5, QP7, QP9,
QR1, QR3, QR5, QR7, QR9,
RP1, RP3, RP5, RP7, RP9,
RQ1, RQ3, RQ5, RQ7, RQ9}
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D)
There are 20 license plates that have a Q in them, and they are
{PQ1, PQ3, PQ5, PQ7, PQ9,
QP1, QP3, QP5, QP7, QP9,
QR1, QR3, QR5, QR7, QR9,
RQ1, RQ3, RQ5, RQ7, RQ9}
There are 30 plates total. So the probability is 
If you need more help, email me at jim_thompson5910@hotmail.com
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Jim
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