Math 7 /Unit 11 Practice Test: Probability

Math 7 /Unit 11 Practice Test: Probability

Name

Date

Definitions (1 – 4)

1.  Probability

2.  Odds

3.  Outcome

4.  Combination

5.  Write impossible (0), unlikely (), as likely as not (), likely () or certain (1) to 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.

6.  A fair number cube is rolled. Find each probability. Write your answer as a fraction, a decimal and a percent.

A. P(number less than 6)

B. P(number is divisible by 3)

C. P(prime number)

7.  What is the probability of choosing a white shirt from a drawer containing 3 white shirts, 2 blue shirts and 2 red shirts, if you randomly choose only one shirt?

A.

B.

C.

D.

8.  What is the probability of picking a month of the year at random that begins with the letter “J”?

9.  If the probability in favor of the Giants winning the series is 3 to 5, find the odds that they will win.

10.  A bag contains 3 purple, 4 green, 4 blue and 4 white marbles. What is the probability of 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

11.  Explain the difference between experimental probability and theoretical probability.

12.  Identify whether each problem below involves combinations or permutations.

A. There are 20 runners in a race. Trophies will be given for first, second and third place.

B. The different ways students can be paired off if fourteen students are going to work on a project in groups of 2.

C. The number of ways seven books can be placed on a library shelf.

D. The number of different ways teams of three students can be chosen when there are a total of 6 students.

13.  Evaluate. 5!

14.  Create a tree diagram to determine how many different kinds of sandwiches using 1 type of bread, 1 meat and 1 condiment can be made? Use the table below.

15.  Any one of four busses will take Mr. Hines from his school to the train station, any one of 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?

16.  Angela has four CD’s she wants to play. In how many different arrangements can she play the CD’s?

17.  Six friends are going to play a card game that requires they play as a pair. How many different team combinations are possible?

18.  Seven students are running for the class offices of President, Vice President, Secretary and Treasurer. How many different arrangements can there be for the class offices?

19.  Find the probability of flipping a coin and getting tails and rolling a “3” on a fair number cube.

20.  Kashton has 5 red marbles, 3 blue marbles and 2 yellow marbles in a bag. What is the probability of drawing 2 red marbles from the bag if the marble is not replaced after the first draw?