. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. 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.

Question

. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. 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.

anonymous · Answer

The plate has 3 possible spots. The first is a letter, which has 26 possibilities. The next two can be a 1 or 6.

So, 26 * 2 * 2 = 104 possibilities

Prob of having an A = first spot has A (only spot that uses letters) = 1 * 2 * 2 = 4/104 = 1/26 (which makes perfect sense)