A mini license plate for a toy car must consist of three numbers followed by a l

Question

A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 1, 3, or 5. Repetition of digits is NOT permitted. Each letter must be an A, B or C.

*Use the counting principle to determine the number of points in the sample space.
*Construct a tree diagram to represent this situation and submit it to the W5: Assignment 3 Dropbox.
*List the sample space.
*Determine the exact probability of creating a mini license plate with a C. Give solution exactly in reduced fraction form.

Explanation / Answer

a) Numbers: 3*2*1 = 6 ways Letters: 3 ways Total # of licence plates: 6*3 = 18 c) as for the sample space...just list out all 18 possibilities 135A 135B 135C 351A ... ... d) # of number combinations: 6 # of letters: 1 --- Total number with a "C": 6 Probability of (C in the licence number) = 6/18 = 1/3

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