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

counting principle 
5 vowels, 5 choices
one number, 10 choices
 by counting principle there are 
$$5\times 10=50$$ possible combinations

anonymous · Answer

ok i should learn to read.  it says the numbers 1 through 6, so only six choices of  numbers and therefore 
$$5\times 6=30$$ possible license plates

anonymous · Answer

since A is one of the five vowels, one fifth of the license plates will begin with A

andijo76 · Answer

how do i do a tree diagram for this