Problem # 1: Find the sample space for tossing a coin 3 times. (Use a tree diagram, if you want). Use H for head and T for tail. What is the number of outcomes?

Group of answer choices

6

2

4

8

Problem # 2: A coin is tossed 3 times. Find the probability for the following event: At least one tail.

Group of answer choices

0.5

0.875

0.25

0.625

Problem # 3: A coin is tossed 3 times. Find the probability for the following event: At most 2 head

Group of answer choices

0.625

0.25

1.25

0.875

Problem # 4: A box contains one black ball, one yellow ball, and one pink ball. A ball is selected at random, and it is not replaced; then a second ball is selected at random. Draw a tree diagram and determine the sample space. Which one of the following is an outcome.

Group of answer choices

Black, Black

Yellow, Black

Pink, Pink

Yellow, Yellow

Problem # 5: An auto dealer sold 200 minivans. His records show that the following repairs were required during the first year:

Repair	Frequency	Probability
Minor	54
Major	46
No repairs	100
Total

Mrs. Smith purchases a minivan from the dealer. Find the probability that she will return during the first year for the minor repair.

Group of answer choices

54/200

23/100

27/100

1/2

Problem # 6: If a die is rolled one time, find this probability: Getting a number greater than 4.

Group of answer choices

0.5

0

0.333

0.667

Problem # 7: If a die is rolled one time, find this probability: Getting a 5 or an even number.

Group of answer choices

0.333

0

0.667

1

Problem # 8: If a die is rolled one time, find this probability: Getting a number less than 5 or an odd number.

Group of answer choices

1

0.667

0.2

0.833

Problem # 9: If two dice are rolled one time, find the probability of getting : A sum is 8.

Group of answer choices

0.455

0.333

0.139

0.222

Problem # 10: If two dice are rolled one time, find the probability of getting : A sum is 5 or 9.

Group of answer choices

0.139

0.222

0.455

0.333

Problem # 11: A couple has three children. List the sample space for the gender of children (use a tree diagram, if you want.) What is the probability of getting at least one boy.

Group of answer choices

7/8

1/8

3/8

1/2

Problem # 12: A student is to be selected randomly from a group of students. For each classification of freshman and sophomore, there is a math major, an art major, and a biology major. The following table summarized the number of students in each category:

	Math	Art	Biology	Total
Freshman	30	50	20
Sophomore	65	72	63
Total

Find the probability that a freshman or an art major is selected.

Group of answer choices

0.74

0.383

0.573

0.21

Problem # 13: In a particular school with 500 students, 250 play football, 220 play basketball, and 100 play both. What is the probability that randomly selected student plays football or basketball?

Group of answer choices

0.94

0.748

0.85

0.74