# 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.

Determine

n(A)

n(B)

P(A)

P(B)

P(A|B)

P(B|A).

https://brainmass.com/statistics/probability/counting-principle-tree-diagram-probability-venn-diagram-385973

#### Solution Summary

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