Question 248724: 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.
1.) Use the counting principle to determine the number of points in the sample space.
2.) Construct a tree diagram to represent this situation.
3.) List the sample space
4.) Determine the exact probablility of creating a mini license plate with a 3.
I've worked on this problem on a couple of hours and I still can't come up with the answers correctly. Thank you in advance!
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. Each number must be a 3 or a 6. Repetition of digits is permitted.
1.) Use the counting principle to determine the number of points in the sample space.
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# of ways to pick 1st number: 2
# of ways to pick 2nd number: 2
# of ways to pick a vowel: 5
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# of points in the sample space: 2*2*5 = 20
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2.) Construct a tree diagram to represent this situation.
1st column: a 3 and a 6
2nd column: a 3 and 6 to right of 3 and a 3 and 6 to right of 6
3rd column: a,e,i,o,u to the right of each level of column 2.
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3.) List the sample space
33a,33e,33i,33o,33u
36a,36e,36i,36o,36u
63a,63e,...
66a,66e,...
4.) Determine the exact probablility of creating a mini license plate with a 3.
# of ways to succeed: 15
# of possible outcomes: 20
P(getting a 3) = 15/20 = 3/4
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Cheers,
Stan H.
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