How to construct a class diagram?

Construct a tree diagram need help ASAP!!!?

• A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7. Repetition of digits 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 an A. Give solution exactly in reduced fraction form.

• Answer:

  Sorry if I'm too late! TREE DIAGRAM (I'm counting "Y" as a vowel): ------3 A-3-7 -7-3 -----7 -----3 E-3-7 -7-3 -----7 -----3 I-3-7 -7-3 -----7 ------3 O-3-7 -7-3 ------7 -----3 U-3-7 -7-3 -----7 -----3 Y-3-7 -7-3 ------7 Sorry, my tree diagram sucks, but I'm sure you get the point :) The sample space is 24, as there are that many possible outcomes. If you don't count Y, the sample space is 18. To find the probability of creating a mini license plate with an A, I will use the equation: Probability (A)= # Favourable outcomes/ # Possible outcomes (Sample space) =4/24 =1/6 Therefore the theoretical (exact) probability is 1/6.