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Creating a license plate that has 2#s followed by a letter

aburchett

New member
Joined
Jan 19, 2011
Messages
48
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.
My work: 3*2*3 = 18 points in the sample space

· Construct a tree diagram to represent this situation
· List the sample space.
My work: Sample space
57C
57A
57N
59C
59A
59N
75C
75A
75N
79C
79A
79N
95C
95A
95N
97C
97A
97N
· Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.
18 Total possibilities and 12 contain a 5. So 12/18 or 2/3 is the probability of creating a mini license plate with a 5.

Is this correct?
 

soroban

Elite Member
Joined
Jan 28, 2005
Messages
5,588
Re: Creating a license plate that has 2#s followed by a lett

Hello, aburchett!

Correct! . . . Good work!

 
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