Question 250680: A mini license plate for a toy car must consist of a one digit odd number followed by two letters. Each letter must be a J or K. Repetition of letters is permitted.
1. Use the counting principle to determine the number of pints in the sample space.
2. Construct a tree diagram to represent this situation.
3. List the sample space.
4. Determine the exact probability of creating a mini license plate with a 5. Give 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 one digit odd number followed by two letters. Each letter must be a J or K. Repetition of letters is permitted.
1. Use the counting principle to determine the number of p0ints in the sample space.
Pick a one-digit odd number: 5 ways
Pick from J/K twice: 4 ways
# of points: 5*4 = 20
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2. Construct a tree diagram to represent this situation.
1st column: 1,3,5,7,9
2nd column: JJ,JK,KJ,KK to the right of each element in the 1st column.
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3. List the sample space.
1 followed by JJ,JK,KJ,KK
2 followed by JJ,JK,KJ,KK
etc.
4. Determine the exact probability of creating a mini license plate with a 5. Give in reduced fraction form.
4/20 = 1/5
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Cheers,
stan H.
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