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07.00 Module Seven Pretest
Matt Goldman 7th Grade Semester B (2023-2024) / Module 07: Probability of Compound Events
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1.
(07.01 MC)
The number of chips of different colors in Fran's bag is shown below:
9 red chips
4 green chips
15 yellow chips
Fran takes out a chip from the bag randomly without looking. He replaces the chip and then takes out another chip from the bag. What is the probability that Fran takes out a green chip in both draws? (1 point)
4 over 28 multiplied by 4 over 28 equal to 16 over 784
4 over 28 plus 4 over 28 equal to 8 over 56
4 over 28 multiplied by 3 over 27 equal to 12 over 756
4 over 28 plus 3 over 27 equal to 192 over 756
2.
(07.01 LC)
Amelia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 4? (1 point)
6 over 36
5 over 36
4 over 36
3 over 36
3.
(07.02 MC)
There are 6 cards with a picture of a rose and 4 cards with a picture of a daisy. Alfa keeps all the cards face down on a table with the pictures hidden and mixes them up. She then turns over one card and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alfa turns over has a rose on it? (1 point)
1 over 6
1 over 3
5 over 10
5 over 9
4.
(07.02 LC)
Kate is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 2-sided coin. How many outcomes are in the sample space for pulling a marble out of the box and tossing the coin? (1 point)
16
8
6
12
5.
(07.01 LC)
The table below shows the number of shirts of different colors in a closet:
Color of Shirt Number
Red 1
Blue 6
Green 1
Pink 4
A coin
Dennis selects a shirt from the closet randomly without looking. What is the probability that Dennis will select a pink shirt and the coin will land tails up? (1 point)
5 over 6
3 over 6
4 over 24
2 over 24
6.
(07.01 MC)
Lara makes the following statement:
"There is an 80% chance of rain tomorrow and a 10% chance I will go to the park."
What is the chance that it will rain tomorrow and Lara will go to the park? (1 point)
90%
70%
8%
6%
7.
(07.01 LC)
The table below shows the number of marbles of different colors in a bag:
Color of Marbles Number of Marbles
Pink
4
Blue
8
Green
1
Bryn draws a marble from the bag randomly without looking. He then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing blue marbles in both the trials? (1 point)
8 over 13 multiplied by 7 over 13
8 over 13 added to 7 over 12
8 over 13 multiplied by 7 over 12
8 over 13 added to 7 over 13
8.
(07.01 MC)
Meg is giving balloons to some children at a carnival. She has 6 red balloons, 3 blue balloons, and 5 yellow balloons. If Meg selects a balloon randomly without looking, what is the probability that she will give a red balloon to the first child and then a yellow balloon to the second child? (1 point)
6 over 14 plus 5 over 13 is equal to 148 over 182
6 over 14 multiplied by 5 over 13 is equal to 30 over 182
6 over 14 multiplied by 5 over 14 is equal to 30 over 196
6 over 14 plus 5 over 14 is equal to 11 over 14
9.
(07.03 MC)
Dan used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:
Number on the Cube Number of Times Rolled
1 19
2 26
3 13
4 23
5 8
6 11
Heads Tails
48 52
Using Dan's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up? (1 point)
48 over 100
71 over 100
1002 over 10000
1104 over 10000
10.
(07.03 MC)
Shyla used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:
Color of Marble Number of Times Rolled
Blue 16
Green 20
Yellow 14
Heads Tails
18 32
Using Shyla's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (1 point)
512 over 2500
624 over 2500
32 over 50
48 over 50
11.
(07.03 LC)
Tiya used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:
Number on the Cube Number of Times Rolled
1 14
2 12
3 10
4 4
5 17
6 5
7 8
8 18
9 2
10 5
11 2
12 3
Using Tiya's simulation, what is the frequency of rolling a 5 on the number cube? (1 point)
100 over 83
100 over 17
17 over 100
83 over 100
12.
(07.03 LC)
At a conference of 250 people, 20% of the participants are French, 35% are Americans, 5% are Germans, and the rest are of other nationalities. How many French participants are at the conference? (1 point)
200
100
50
20
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