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WorksheetsProbability Test Review
Total questions: 54
Worksheet time: 27mins
What is the intersection of sets A and B (A ∩ B)?
{1, 5, 8, 9}
{0, 1, 2, 7, 8}
{1, 8}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
What is the union of sets A and B (A ∪ B)?
{1, 5, 8, 9}
{0, 1, 2, 7, 8}
{0, 1, 2, 5, 7, 8, 9}
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
What is the complement of set A (A̅)?
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
{0, 1, 2, 3, 4, 6, 7, 8}
{0, 2, 3, 4, 6, 7}
{1, 5, 8, 9}
Use set notation to describe the lined portion in the Venn diagram.
Use set notation to describe the lined portion in the Venn diagram.
Use set notation to describe the lined portion in the Venn diagram.
Use set notation to describe the lined portion in the Venn diagram.
Use the Venn diagram to answer the following question: Find A ∩ B.
{Red, Green, Pink}
{White, Tan, Purple}
{Orange, Violet, Brown}
{Yellow}
Use the Venn diagram to answer the following question: Find A'.
{Orange, Violet, Brown, Yellow}
{Red, Green, Pink}
{White, Tan, Purple}
{Yellow}
Use the Venn diagram to answer the following question: Find B'.
{White, Tan, Purple, Yellow}
{Red, Green, Pink}
{Orange, Violet, Brown}
{Yellow}
Use the Venn diagram to answer the following question: Find A ∪ B.
{White, Tan, Purple, Red, Green, Pink, Orange, Violet, Brown}
{Red, Green, Pink}
{White, Tan, Purple}
{Yellow}
Use the Venn diagram to answer the following question: Find (A ∩ B)'.
{White, Tan, Purple, Orange, Violet, Brown, Yellow}
{Red, Green, Pink}
{White, Tan, Purple}
{Yellow}
Use the Venn diagram to answer the following question: Find (A ∪ B)'.
{Yellow}
{Red, Green, Pink}
{White, Tan, Purple}
{Orange, Violet, Brown}
What is the sample space for the suits of a standard 52-card deck?
Hearts, Diamonds, Clubs, Spades
Red, Black, Blue, Green
Kings, Queens, Jacks, Aces
Numbers, Faces, Jokers, Aces
What is the sample space for numbers of a die?
1, 2, 3, 4, 5, 6
1, 2, 3, 4, 5, 6, 7
0, 1, 2, 3, 4, 5
2, 4, 6, 8, 10, 12
What is the probability of rolling a 3 on a die?
1/6
1/3
1/2
1/4
What is the probability of drawing a heart out of a deck of cards?
1/4
1/2
1/3
1/5
What is the probability that the spinner lands on an odd number as a simplified fraction?
1/2
1/3
1/4
1/5
What is the probability that the spinner lands on a number less than 5 as a simplified fraction?
2/5
1/2
1/3
1/4
How many outcomes are there if Sarah is making a sandwich with two types of bread, two types of lunch meat, and three types of cheese?
6
8
12
16
Use the tree diagram to determine the probability Sarah will use rye bread as a simplified fraction.
1/2
1/3
1/4
1/6
Use the tree diagram to determine the probability Sarah will use white bread and turkey as a simplified fraction.
1/2
1/3
1/4
1/6
Use the tree diagram to determine the probability Sarah will use rye, ham, and Swiss as a simplified fraction.
1/6
1/8
1/12
1/24
Use the tree diagram to determine the probability Sarah will use rye bread and ham as a simplified fraction.
1/2
1/3
1/4
1/6
Using the Counting Principle, how many combinations of outfits can JJ make if they have 10 pairs of pants, 14 shirts, 8 pairs of shoes, and 4 purses?
4480
448
5600
560
What is the probability of flipping a coin and landing on tails AND rolling a die and landing on 2?
50%
17%
8%
33%
What is the probability of drawing a club OR an even number from a deck of cards?
54%
25%
38%
63%
Given P(A)=0.25 and P(B)=0.3, find P(A∩B).
0.075
0.055
0.015
0.025
Given P(A)=0.1 and P(B)=0.23, find P(A∩B).
0.023
0.33
0.1
0.025
Given P(A)=1/2, P(B)=1/3, and P(A∩B)=1/8, find P(A∪B).
17/24
5/8
1/2
1/3
Given P(A)=0.34, P(B)=0.58, and P(A∩B)=0.12, find P(A∪B).
0.8
0.46
0.92
0.7
Are the events independent? (Yes or No) Given P(A)=0.4, P(B)=0.2, and P(A∩B)=0.08.
Yes
No
Cannot be determined
Sometimes
Are the events independent? (Yes or No) Given P(A)=0.3, P(B)=0.5, and P(A∩B)=0.8.
Yes
No
Cannot be determined
Sometimes
How many students were interviewed?
48
96
33
20
How many freshmen like drama?
3
24
18
10
How many sophomores like romance?
6
2
30
10
Find P(D∪F).
60%
75%
25%
100%
Find P(A∪S).
63%
38%
50%
75%
Find P(R∩S).
31%
63%
50%
75%
Find P(H∩F).
19%
25%
38%
50%
What is the probability that a student is either a freshmen or likes drama (or both)?
53%
60%
75%
88%
What is the probability that a student is a sophomore or likes horror (or both)?
25%
38%
50%
69%
What is the probability that a student likes action?
31%
63%
50%
75%
What is the probability of a red cube and a blue cube landing on 4 if you know the red cube has already landed on 4?
1/6
1/36
1/4
1/2
What is the probability of two coins landing on heads if you know one coin has already landed on heads?
1/2
1/4
1/3
1/6
Write the following sentence using probability symbols: the probability of A given B is equal to the probability of A.
P(A|B) = P(A)
P(B|A) = P(A)
P(A|B) = P(B)
P(A) = P(B)
What is the P(A|B)?
10%
20%
2%
50%
What is the P(B|A)?
21%
27%
36%
12%
What is the probability of a randomly selected student being in a club, given that the student is a sophomore?
80%
60%
50%
40%
What is the probability of a randomly selected student not being in a club, given that he is a freshman?
32%
20%
40%
16%
What is the probability of a randomly selected student being a sophomore, given that they are in a club?
54%
40%
46%
60%
What is the probability of a randomly selected student being a freshman, given they are not in a club?
0.62
0.40
0.16
0.20
What is the probability that a randomly selected student will not be in a club, given they are a sophomore?
0.20
0.10
0.40
0.60
What is the probability that a randomly selected student will not be in a club?
0.26
0.20
0.40
0.74
