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Math 7 Mission 8: Mid-Mission Assessment

Total questions: 14

Worksheet time: 8mins

Name
Class
Date
1.

For each situation, list the sample space, tell how many outcomes there are, and identify the probability of each outcome. b. Santos randomly selects a month of the year.

a)

Sample space: {January, February, March, April, May, June, July, August, September, October, November, December}, 12 outcomes, each with a probability of 1/12

b)

Sample space: {January, February, March, April, May, June, July, August, September, October, November, December}, 12 outcomes, each with a probability of 1/6

c)

Sample space: {January, February, March, April, May, June, July, August, September, October, November, December}, 6 outcomes, each with a probability of 1/12

d)

Sample space: {January, February, March, April, May, June, July, August, September, October, November, December}, 6 outcomes, each with a probability of 1/6

2.

A bag is filled with 100 colored cubes, some red and the rest blue. A cube is randomly selected from the bag and put back into the bag before selecting again. After 40 trials, a red cube has been selected 16 times. Based on the results of the 40 trials, estimate the probability of randomly choosing a red cube from the bag. Show your work and/or explain your reasoning.

a)

0.4

b)

0.3

c)

0.5

d)

0.2

3.

A 30-sided die, with sides numbered 1 - 30, is rolled. The probability of various outcomes are below.

Event: Probability
Rolling a 2 digit number: 0.7
Rolling a number > 10: 67%
Rolling 1 - 18: 3/5

Which event is least likely to occur?

a)

Rolling a 2 digit number

b)

Rolling a number > 10

c)

Rolling 1 - 18

4.

A spinner is divided into 6 equal-sized sections, and each section is labeled A, B, C, D, E, or F. The results of spinning the spinner 10 times are shown below. What is the theoretical probability of the spinner landing on D?

a)

1/6

b)

1/10

c)

1/5

d)

1/4

5.

A spinner is divided into 6 equal-sized sections, and each section is labeled A, B, C, D, E, or F. The results of spinning the spinner 10 times are shown below. What fraction of the spins landed on D? Is this greater than, less than, or equal to the theoretical probability? Show your work and/or explain your reasoning.

a)

1/6, equal to the theoretical probability

b)

2/10, greater than the theoretical probability

c)

3/10, less than the theoretical probability

d)

4/10, equal to the theoretical probability

6.

A cookie shop makes custom ice cream cookie sandwiches. The tree shows your options for cookies, ice cream and toppings to roll the sandwich in. How many unique custom ice cream sandwiches does the shop offer?

a)

2

b)

3

c)

12

d)

4

7.

A fair coin is flipped and a standard number cube is rolled. What is the probability of flipping heads and rolling a 5?

a)

1/12

b)

1/6

c)

1/2

d)

1/3

8.

A fair coin is flipped and a standard number cube is rolled. What is the probability of flipping tails and rolling an even number?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

9.

For each situation, list the sample space, tell how many outcomes there are, and identify the probability of each outcome. a. Mae randomly selects a letter from the word ZEARN.

a)

Sample space: {Z, E, A, R, N}, Outcomes: 5, Probability of each outcome: 1/5

b)

Sample space: {Z, E, A, R, N}, Outcomes: 5, Probability of each outcome: 1/4

c)

Sample space: {Z, E, A, R, N}, Outcomes: 4, Probability of each outcome: 1/5

d)

Sample space: {Z, E, A, R, N}, Outcomes: 5, Probability of each outcome: 1/6

10.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
11.

A bag contains 8 green marbles, 5 yellow marbles, and 7 blue marbles. If a marble is randomly selected from the bag, what is the probability of selecting a yellow marble?

a)

5/20

b)

1/4

c)

1/3

d)

1/5

12.

A jar contains 10 red balls, 15 blue balls, and 5 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?

a)

1/3

b)

3/19

c)

21/190

d)

7/38

13.

A spinner is divided into 8 equal sections labeled 1 to 8. What is the probability of the spinner landing on an even number?

a)

1/4

b)

1/2

c)

5/8

d)

3/8

14.

A jar contains 6 red marbles, 8 blue marbles, and 6 green marbles. If a marble is randomly selected, what is the probability of selecting a green marble?

a)

3/10

b)

1/4

c)

1/5

d)

8/20