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Counting Principle, Tree Diagram, Probability, Venn Diagram

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.


Solution Summary

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