SOLUTION: Can someone help me with this question. It is confusing to me. Thank you A mini license plate for a toy car must consist of two numbers followed by a letter. Each number mus

Algebra ->  Probability-and-statistics -> SOLUTION: Can someone help me with this question. It is confusing to me. Thank you A mini license plate for a toy car must consist of two numbers followed by a letter. Each number mus      Log On


   



Question 550761: Can someone help me with this question. It is confusing to me.
Thank you

A mini license plate for a toy car must consist of two numbers followed by a letter. Each number must be a 7, 8 or 9. Each letter must be a C, A or R. Repetition of digits 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 an R. Give solution exactly in reduced fraction form.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A mini license plate for a toy car must consist of two numbers followed by a letter.
Pattern: NNL
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Each number must be a 7, 8 or 9. Each letter must be a C, A or R. Repetition of digits is NOT permitted.
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Use the counting principle to determine the number of points in the sample space.
Ans: 3*2*3 = 18 points
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Construct a tree diagram to represent this situation.
List the sample space.
Ans: I'll leave that to you.
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Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.
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Ans: 3*2*1 = 6
P(NNR) = 6/18 = 1/3
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Cheers,
Stan H.
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