Question

A mini license plate for a toy car must consist of two numbers followed by a letter. Each number must be a 5, 7 or 9. Each letter must be a C, A or N. 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 a 5. Give solution exactly in reduced fraction form.

Answer 1

A mini license plate for a toy car must consist of two numbers followed by letter.
NNL
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Each number must be a 5, 7 or 9.
Each letter must be a "c", "a", or "n".
Repetition of digits is not permitted.
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1. use the counting principle to determine the number of points in the sample space?
1st number: 3 ways

Answer 2

2nd number: 2 ways
letter: 3 ways
Number of points in the sample space: 3*2*3 = 18
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2. Construct a tree diagram to represent this situation?

Answer 3

57a/57c/57n
59a/59c/59n
75a/75c/75n
79a/79c/79n
95a/95c/95n
97a/97c/97n
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3. List the sample space
done
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4 Determine the exact probability of creating a mini license plate with a given solution exactly in reduced fraction form.
Each pattern has probability 1/18 = 0556

Answer 4

can u draw how the tree diagram would look like