mini license plate for a toy car must consist of two numbers followed by a letter. Each number must be a 7, 8 or 9. Each letter must be a C, A or R. Repetition of digits is NOT 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 an R. Give solution exactly in reduced fraction form.
how many elements in the sample space comes from the counting principle you have \(3\times 2=6\) choices for the letters, then 3 choices for the numbers. so there is a total of \(6\times 3=18\) possible license plates
you can draw the tree if you like, but one third of the plates will contain the letter R
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