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1.A mini license plate for a toy car must consist of a letter…

Customer Question
1.A mini license plate for...
1.A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is 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 7. Give solution exactly in reduced fraction form.
Submitted: 8 years ago.Category: Math Homework
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Answered in 21 minutes by:
6/13/2010
Math Tutor or Teacher: SusanAthena, Master's Degree replied 8 years ago
SusanAthena
SusanAthena, Master's Degree
Category: Math Homework
Satisfied Customers: 4,332
Experience: Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.
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Thank you for your question!

Your answer is below.

Kind regards,
Susan

The tree structure is here.

The sample space has 12 points
The sample space is:
c33
c37
c73
c77
a33
a37
a73
a77
r33
r37
r73
r77

The probability that a plate will have a 7 is 9/12 = 3/4 (reduced fraction) = 0.75 (exact)

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Customer reply replied 8 years ago

Susan,

 

Thank you for your fast response, but the link for the tree structure does not seem to be working.

Math Tutor or Teacher: SusanAthena, Master's Degree replied 8 years ago
Sorry about that. Please see below.

graphic

Kind regards,
Susan
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