Question 325307: A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
1. Use the counting principle to determine the number of points in the sample space.
2. Construct a tree diagram to represent this situation
3. List the sample space.
4. Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
1. Use the counting principle to determine the number of points in the sample space.
Numbers: 3*2*1 = 6 ways
Letters: 3 ways
Total # of licence plates: 6*3 = 18
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2. Construct a tree diagram to represent this situation
I'll leave that to you
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3. List the sample space.
You should list 18 combinations.
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4. Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.
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# of number combinations: 6
# of letters: 1
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Total number with a "B": 6
Probability of (B in the licence number) = 6/18 = 1/3
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Cheers,
Stan H.
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