A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Each letter must be a T or R. Repition of digits is Not permitted. a. Use the...

A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Each letter must be a T or R. Repition of digits is Not permitted.

a. Use the counting principle to determine the number of points in the sample space.

b. Construct a tree diagram to represent this situation.

c. List the sample space.

d. Determine the exact probability of creating a mini license with a T. Give solution exactly in reduced fraction form.