A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an S, U or N. Each number must be a 3 or 5. 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 a 3. 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 an S, U or N. Each number must be a 3 or 5. 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 a 3.  Give solution exactly in reduced fraction form.

anonymous · Answer

3 * 2 * 2 = 12

S
 3
   3
   5
 5
   3
   5
U
 3
   3
   5
 5
   3
   5
N
 3
   3
   5
 5
   3
   5

anonymous · Answer

8/12
4/6
2/3 Have a 3