Math 7 /Unit 11 Practice Test: Probability
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(#1-4) Define the terms below and give an example of each.
Permutation 1.
Odds 2.
Outcome 3.
Theoretical Probability 4.
Write impossible (0), unlikely ( 1 ), as likely as not ( 1 ), likely ( 3 ) or certain (1) to 5. 4 2 4 describe each event below.
______a) There is a 25% chance of snow today.
______b) You randomly draw a black marble from a bag containing 12 red marbles and 12 black marbles.
______c) A minute has 60 seconds.
______d) You roll a 7 on a standard number cube.
A fair number cube is rolled. Find each probability. Write your answer as a fraction, a 6. decimal and a percent.
a) P(number less than 6)
Math 7 Practice Test Unit 11: Probability Page 1 of 9 b) P(number is divisible by 3)
c) P(prime number)
What is the probability of choosing a white shirt from a drawer containing 3 white shirts, 7. 2 blue shirts and 2 red shirts, if you randomly choose only one shirt? 1 A. 3 1 B. 7 3 C. 7 3 D. 4
What is the probability of picking a month of the year at random that begins with the 8. letter “J”?
If the probability in favor of the Giants winning the series is 3 to 5, find the odds that they 9. will win.
A bag contains 3 purple, 4 green, 4 blue and 4 white marbles. What is the probability of 10. selecting a marble that is NOT purple out of the bag?
A. 1 out of 5
B. 1 out of 4
C. 4 out of 5
D. 7 out of 8
Explain the difference between experimental probability and theoretical probability. 11.
Math 7 Practice Test Unit 11: Probability Page 2 of 9 Evaluate. 5! 12.
Create a tree diagram to determine how many different kinds of sandwiches using 1 type 13. of bread, 1 meat and 1 condiment can be made. Use the table below.
Bread Meat Condiment white ham mayonnaise wheat roast beef mustard turkey
Any one of four busses will take Mr. Hines from his school to the train station, any one of 14. three trains will take him from the station to his neighborhood and any of four elevators will carry him to his apartment. How many choices of transportation by bus, train and elevator can he select?
Angela has four CD’s she wants to play. In how many different arrangements can she 15. play the CD’s?
Math 7 Practice Test Unit 11: Probability Page 3 of 9 Seven students are running for the class offices of President, Vice President, Secretary 16. and Treasurer. The person with the most votes will be President. The person who comes in second will be the Vice President. The third will be the Secretary, and the fourth will be Treasurer. How many different teams of officers can be elected?
(NAEP) Five people – A, B, X, Y, and Z – go to a movie and sit in adjacent seats. If A sits 17. in the aisle seat, list all the possible arrangements of the people.
Twelve dancers are auditioning for a part in a play. How many different lineups for the 18. audition can the judges make? Write your answer as a factorial.
(CRT) Mammy’s Department Store carries 7 different styles of boots, 10 different styles 19. of sneakers and 13 different styles of high heel shoes in the Women’s department. No other footwear is on display. One style of footwear is randomly selected from the display. What is the probability the selected footwear style is a sneaker?
A. 1 30 B. 7 30 C. 1 3 D. 2 3
Math 7 Practice Test Unit 11: Probability Page 4 of 9 (CRT) Nancy’s schedule must include a math class, a science class, a history and an 20. English class. The possible class times are 8 AM, 9 AM, 10 AM and 11 AM. How many different ways can Nancy’s schedule be created to have one class each hour?
A. 4 B. 10 C. 16 D. 24
Employees must create a three-digit code to unlock a color copier. They may use any 21. single digit from 0 to 9. How many different passcodes can be created if the passcode can have repeated digits? cannot have repeated digits?
Math 7 Practice Test Unit 11: Probability Page 5 of 9 (CRT) Wendy will spin the arrow on each of the spinners shown below one time. 22.
Spinner A Spinner B
The possible outcomes for her 2 spins are shown in the tree diagram below.
Spinner A 1 2 3 4
Spinner B 1 2 3 1 2 3 1 2 3 1 2 3
What is the probability the numbers in the sections where the arrows stop are one even and one odd number? A. 1 12 B. 1 7 C. 1 4 D. 1 3
(CRT) Four students will present book reports to their class. In how many different 23. orders can the students present their book reports? A. 4 B. 10 C. 16 D. 24
Math 7 Practice Test Unit 11: Probability Page 6 of 9 (CRT) Jason, Denise, and Whitney have been chosen to be in the school play. Their 24. teacher will randomly select who will be the lion, tin man, and scarecrow.
A. Show all the possible combinations below.
B. What is the probability that Whitney will be the tin man and Denise the lion? Explain your thinking.
(NAEP) A student is chosen at random from the class of 24 whose scores are shown in 25. the histogram below. Student Test Scores 8
6
Number of 4 Students
2
x 0 100 50-59 60-69 70-79 80-89 90-99 1009 Test Scores Math 7 Practice Test Unit 11: Probability Page 7 of 9 What is the probability that the student’s score is in the 80’s? At least 80?
Describe a real world event that has two outcomes that are not equally likely. Explain 26. how to use and experiment to find the probability of each outcome.
(NAEP) The two fair spinners shown below are part of a carnival game. A player wins a 27. prize only when both arrows land on black after each spinner has been spun once.
James thinks he has a 50-50 chance of winning. Show your work and prove his statement to be true or false. Explain your thinking.
Long Term Memory Review
Simplify. 8- 33 + ( - 2) = 28. (- 28� 7) 3
Math 7 Practice Test Unit 11: Probability Page 8 of 9 Order 7 -1 from least to greatest. .77, , 7%, 7.6 10 , .76 29. 9
Simplify. 1 5 7- 3 = 30. 4 6
Math 7 Practice Test Unit 11: Probability Page 9 of 9