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    Counting Principle, Tree Diagram, Probability, Venn Diagram

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    2. 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
    List the sample space.
    Determine the exact probability of creating a mini license plate with a C. Give solution exactly in reduced fraction form.

    3. Given that P(A) = 0.6 and P(B) = 0.3, and P(A and B) = 0.18, determine P(B|A).
    a. 0.20
    b. 0.30
    c. 0.72
    d. 0.60

    8. Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
    a. 16/31
    b. 1/2
    c. 8/15
    d. 15/31

    9. Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region.


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    Solution Summary

    The solution provides the counting principle, tree diagram, probability and venn diagram.