SOLUTION: Hi, I have already sumitted this problem once, but havent gotten a reply, can someone help me? a mini license plate for a toy car must consist of a number followed by two letters.

Question 462478: Hi, I have already sumitted this problem once, but havent gotten a reply, can someone help me?
a mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A, or R. each number must be a 3 or 7. repetition of letters 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 C. give solutions exactly in reduced fraction form.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Since "a mini license plate for a toy car MUST consist of a number followed by two letters" then the following are the only arrangements allowed for the letters:
CC, CA, CR, AC, RC, AA, AR, RA, RR The sample space.
There are 5 containing a C out of 9.
5/9 the exact probability of creating a mini license plate with a C.
.
Ed
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