anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
please help
y2o2
  • y2o2
So, the number must be in this for (N L1 L2) , where N is numbers and L is letters. A) according to the counting principle ; the number of N = 2 and the number L1 = L2 = 3 (since repetition is permitted) so the number of points in the sample space = 2 * 3 * 3 = 18 the number of points with "C" = 2 *1 *3 = 6 so the probability of a plate with "C" is (6/18) = (1/3)
anonymous
  • anonymous
how do u construct a tree diagram to represet this

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y2o2
  • y2o2
actually I can't draw it here

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