A mini license plate for a toy car must consist of a number followed by two lett

Question

A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.

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 2 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

here i used P and Q instead of C and A please check :) You can put this solution on YOUR website! A) # of letters possible * # of letters possible * # of odd digits = 3 * 2 * 5 = 6 * 5 = 30 So there are 30 different license plates (you're missing half of them) -------------------------------------- B) I can't draw here. -------------------------------------- C) Sample Space {PQ1, PQ3, PQ5, PQ7, PQ9, PR1, PR3, PR5, PR7, PR9, QP1, QP3, QP5, QP7, QP9, QR1, QR3, QR5, QR7, QR9, RP1, RP3, RP5, RP7, RP9, RQ1, RQ3, RQ5, RQ7, RQ9} -------------------------------------- D) There are 20 license plates that have a Q in them, and they are {PQ1, PQ3, PQ5, PQ7, PQ9, QP1, QP3, QP5, QP7, QP9, QR1, QR3, QR5, QR7, QR9, RQ1, RQ3, RQ5, RQ7, RQ9} There are 30 plates total. So the probability is 2/3

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