Question 673705: Yes I know this was answered by Stan and he did a great job. I just need clarification.
A mini license plate for a toy car must consist of a two numbers followed by a vowel. Each number must be a 3 or a 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 a
3. Give solution exactly in reduced fraction form.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A mini license plate for a toy car must consist of a two numbers followed by a vowel.
Pattern: NNV
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Each number must be a 3 or a 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.
Root Column: 3 ; 6
Branch:: 3 : 6 to the right of EACH Root value
Leavs::: A,E,I,O,U to the right of EACH Branch
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Note: You should have 2*2*5 = 20 leaves
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List the sample space:: Can you do this based on the tree diagram?
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Determine the exact probability of creating a mini license plate with a 3. Give solution exactly in reduced fraction form.
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The only licence plates without a 3 are 66A,66E,66I,66O,66U.
P(not 3) = 15/20 = 3/4
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Cheers,
Stan H.
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