Posted by **Jen** on Tuesday, July 26, 2011 at 8:38pm.

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 solution exactly in reduced fraction form.

- MATH-SO LOST :( -
**Reiny**, Tuesday, July 26, 2011 at 8:47pm
2 choices for the number, followed by 3x3 choices for the letters

number of plates = 2x3x3 = 18

the second part is somewhat ambigious.

Can both spots be C ? I will assume that

1. one C = 2x1x2 + 2x2x1 = 8

2 two C;s = 2x1x1 = 2

number of cases = 10

prob of a C = 10/18 = 5/9

- MATH-SO LOST :( -
**Jen**, Tuesday, July 26, 2011 at 8:50pm
SO CONFUSED STILL....

- MATH-SO LOST :( -
**Reiny**, Tuesday, July 26, 2011 at 8:58pm
3CC

3CA

3CR

3AA

3AC

3AR

3RR

3RA

3RC , that's 9 now do the ones starting with 7 for another 9

for a total of 18

now count how many of those 18 have a C in them .

Including the column starting with 7, I count 10 with a C in them

What part is still confusing?

- MATH-SO LOST :( -
**Jen**, Tuesday, July 26, 2011 at 9:17pm
okay...i get it now thank you Reiny :)

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