48 questions
Identify the shaded area...
A
B
A'
B'
Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?
0.15
0.33
0.49
0.97
The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?
1.18
0.7
0.82
None of the above
What is the complement of it snowing 3 days out of the week?
P' = 4/7
P' = 2/7
P' = 5/7
P' = 3/7
How likely are you to NOT roll a 1 on a regular die? (Complement)
P' = 2/6
P' = 3/6
P' = 5/6
P' = 1/6
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play football only?
66/80
4/80
18/80
49/80
How many people own cats?
3
4
6
7
10
The venn diagram shows the number of students in chorus, band, and/or orchestra.
How many students are in the orchestra?
16
21
31
36
What does this symbol ( ∪ ) represent in set theory?
Union
Intersection
Disjointed
Subset
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
1) What is the probability a randomly selected student got an A or B for the semester?
15/100
20/100
35/100
65/100
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
2) What is the probability a randomly selected student is male?
12/100
17/100
44/100
56/100
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
4) Given that the grade is an A, what is the probability of the student being female?
8/20
12/20
8/44
12/56
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
5) Given that the grade is a B, what is the probability of the student being male?
6/15
9/15
6/56
9/44
The make-up of employees at a police station is shown in the table above:
6) What is the probability that a randomly selected employee is a chief?
1/100
2/100
1/33
1/67
The make-up of employees at a police station is shown in the table above:
7) What is the probability that a randomly selected employee is male and a sergeant?
8/13
8/33
8/67
8/100
The make-up of employees at a police station is shown in the table above:
8) Given the employee is a chief, what is the probability the employee is male?
1/100
1/33
1/2
1/67
Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?
0.15
0.33
0.49
0.97
A total of 540 customers, who frequented an ice cream shop, responded to a survey asking if they preferred chocolate or vanilla ice cream.
308 of the customers preferred chocolate ice cream.
263 of the customers were female.
152 of the customers were males who preferred vanilla ice cream.
What is the probability that a customer chosen at random is a male or prefers vanilla ice cream?
A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?
59.5%
10.5%
1.6%
Not enough information
In a school the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?
7.8%
12.8%
5.9%
Not enough information
P(A) = 0.79 and P(B) = 0.39 and they are independent events.
Find P(A and B).
DO NOT ROUND (use all 4 decimal places)
RECALL: P(A and B) = P(A) * P(B|A)
P(A) = 0.79 and P(B) = 0.39 and they are independent events.
Find P(A or B)
ROUND TO HUNDREDTHS PLACE
RECALL: P(A or B) = P(A) + P(B) - P(A and B)
Independent
Dependent
Independent
Dependent
9/20
13/20
143/400
33/100
3/5
11/20
2/5
9/20
Which of the following represents a pair of mutually exclusive events?
Drawing either a Heart or a King from a deck of cards
Spinning an odd number or a prime number on a spinner with numbers 1 through 10
Rolling a 6 on either of a pair of six-sided dice
Pulling a Scrabble tile from a bag that is a vowel and a consonant.
Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072
Dependent
Independent
Neither
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the given table. You want to determine whether gender and passing the test are independent. Select the correct independence calculation.
P(Female) = 153/221; P(Female | Passed) = 117/169
P(Female) = 153/221; P(Female | Passed) = 117/153
P(Female) = 153/221; P(Passed | Female) = 117/153
P(Female) = 153/221; P(Passed | Female) = 117/169
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the given table. Identify whether gender and passing the test are independent by using the independence formula P(A) = P(A|B)
Gender and passing the test ARE independent
Gender and passing the test ARE NOT independent
Not enough information is given
A group of students at a high school took a survey asking if they play a sport. The number of students said yes is broken down age in the given table. You want to determine whether age and playing a sport are independent. Select the correct independence calculation.
P(playing a sport) = 68/168; P(playing a sport | underclassman) = 51/126
P(playing a sport) = 68/168; P(underclassman | playing a sport) = 51/68
P(playing a sport) = 68/168; P(playing a sport | underclassman) = 51/68
P(playing a sport) = 68/168; P(underclassman | playing a sport) = 51/126
A group of students at a high school took a survey asking if they play a sport. The number of students said yes is broken down age in the given table. Identify whether playing a sport and age are independent by using the independence formula P(A) = P(A|B)
Playing a Sport and Age ARE Independent
Playing a Sport and Age ARE NOT Independent
Not Enough Information Is Given
Identify which of the following statements you believe SHOULD BE independent. Select ALL that apply.
Robbing a bank and going to jail.
Winning the lottery and running out of milk.
Boarding a plane first and finding a good seat.
Owning a dog and landing on heads when flipping a coin
Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.
Determine if the events M and S are independent.
Independent
Not Independent
Are the events "first class passenger" and "survived" independent?
Independent
Not Independent
Are the events "blonde" hair and "blue" eyes independent?
Independent
Not Independent