MATH-SO LOST :(

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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 :( -

    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 :( -

    SO CONFUSED STILL....

  • MATH-SO LOST :( -

    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 :( -

    okay...i get it now thank you Reiny :)

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