36 items match · Math · Probability and conditional probability
HardMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPRfigure
Number of Contestants by Score and Day
5 out of 5
4 out of 5
3 out of 5
2 out of 5
1 out of 5
0 out of 5
Total
Day 1
2
3
4
6
2
3
20
Day 2
2
3
5
5
4
1
20
Day 3
3
3
4
5
3
2
20
Total
7
9
13
16
9
6
60
The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQ
Each face of a fair -sided die is labeled with a number from through , with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a ?
MediumMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
The table above shows information about 14 cars listed for sale on an auto dealership’s website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25,000 ?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
Customer Purchases at a Gas Station
Beverage purchased
Beverage not purchased
Total
Gasoline purchased
60
25
85
Gasoline not purchased
35
15
50
Total
90
40
135
On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?
MediumMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
The data on the coat color and eye color for 48 Himalayan kittens available for adoption were collected and summarized in the table above. What fraction of the chocolate-colored kittens has deep blue eyes?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the students who completed a summer internship in 2010, which of the following represents the fraction of students who were from Valley High School?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?
HardMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPRfigure
Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence or absence of the rhesus factor. The table above shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative is chosen at random, the probability that the person has blood type B is . What is the value of x ?
MediumMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQ
In a bag, there are red, white, blue, and yellow cubes. If one of these cubes is selected at random, what is the probability of selecting a cube that is neither blue nor yellow?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
Of the 8 planets in our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as a topic for a report, what is the probability that the selected planet will be rocky?
MediumMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPR
Each vertex of a -sided polygon is labeled with one of the letters through , with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter will be at the selected vertex? (Express your answer as a decimal or fraction, not as a percent.)
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. If one of the 799 teens surveyed is selected at random, what is the probability that the teen talks on a cell phone daily?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQ
A band with members has members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?
HardMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPRfigure
Phone
Email
Dinner dance
55%
80%
Football game
20%
10%
Picnic
20%
5%
Pool party
5%
5%
Total
100%
100%
An alumni association survey asked each high school graduate to select the one activity he or she preferred for the association’s next event. Some of the people responded by phone, and the others responded by email. The table above shows the distribution of preferred activity, in percent, for each response type used. For the survey, the number of email responses was twice the number of phone responses. If a person who preferred a picnic is selected at random, what is the probability that the person responded by email?
HardMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPRfigure
On May 10, 2015, there were 83 million Internet subscribers in Nigeria. The major Internet providers were MTN, Globacom, Airtel, Etisalat, and Visafone. By September 30, 2015, the number of Internet subscribers in Nigeria had increased to 97 million. If an Internet subscriber in Nigeria on September 30, 2015, is selected at random, the probability that the person selected was an MTN subscriber is 0.43. There were p million MTN subscribers in Nigeria on September 30, 2015. To the nearest integer, what is the value of p ?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
A store received a shipment of 1,000 MP3 players, 4 of which were defective. If an MP3 player is randomly selected from this shipment, what is the probability that it is defective?
HardMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPR
The table summarizes the distribution of age and assigned group for participants in a study.
– years
– years
years
Total
Group A
Group B
Group C
Total
One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least years of age? (Express your answer as a decimal or fraction, not as a percent.)
MediumMath· Problem-Solving and Data Analysis· Probability and conditional probability· SPR
At a conference, there are a total of attendees. Each attendee is assigned to either group A, group B, or group C. If one of these attendees is selected at random, the probability of selecting an attendee who is assigned to group A is and the probability of selecting an attendee who is assigned to group B is . How many attendees are assigned to group C?
EasyMath· Problem-Solving and Data Analysis· Probability and conditional probability· MCQfigure
There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of n ?