A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C,A or r. 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 and submit it to the W5: Assignment 2 Dropbox
• List the sample space.
• Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

Question

A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C,A or r. 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 and submit it to the W5: Assignment 2 Dropbox 
•	List the sample space. 
•	Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

dumbcow · Answer

The letter has 3 choices
The 1st number has 2 choices
The 2nd number has 2 choices

3*2*2 = 12

probability = number combinations with a 7 / total number of combinations
probability = 9/12 = 3/4
**only 3 possibilities with No 7**
C33
A33
R33

anonymous · Answer

Do you know how to lay out the tree diagram for that part?