1. The following table identifies a group of children by one of four hair colors, and by type of hair. Enter your answer rounded to 2decimal places.If your answer is only one decimal place,add the 0in front as in 0.2not .2or .20.

Hair Type	Brown	Blond	Black	Red
Wavy	16	6	21	2
Straight	56	55	62	12

What is the probability that a randomly selected child will have wavy brown hair?

2. The following table identifies a group of children by one of four hair colors, and by type of hair. Enter your answer rounded to 2decimal places.If your answer is only one decimal place,add the 0in front as in 0.2not .2or .20.

Hair Type	Brown	Blond	Black	Red
Wavy	59	6	21	2
Straight	56	21	62	36

If B is the event of a child having brown hair, find the probability of the complement of B.

3. The following table identifies a group of children by one of four hair colors, and by type of hair. Enter your answer rounded to 2decimal places.If your answer is only one decimal place,add the 0in front as in 0.2not .2or .20.

Hair Type	Brown	Blond	Black	Red
Wavy	47	6	21	2
Straight	56	145	62	31

What is the probability that a randomly selected child will have red hair, given that the child has straight hair?

4. At a college, 79 % of courses have final exams and 61% of courses require research papers. Suppose that 50% of courses have a research paper and a final exam.

Find the probability that a course has a final exam or a research project?

5. Roll a fair, six-sided die. Let A = a prime number of dots is rolled. Let B = an odd number of dots is rolled. Then A = {2, 3, 5} and B = {1, 3, 5}. Therefore, A AND B = {3, 5}. A OR B = {1, 2, 3, 5}. The sample space for rolling a fair die is S = {1, 2, 3, 4, 5, 6}. Fill in the blanks to the Venn Diagram below.

Fill in the blanks:

• a1 (use x,y for example: 1,2) =
• a2 =
• a3(use x,y for example: 1,2)=
• a4 =