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36 items match · Math · Probability and conditional probability

Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure
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 123462320
Day 223554120
Day 333453220
Total7913169660

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

Each face of a fair 14 -sided die is labeled with a number from 1 through 14 , with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2 ?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure
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 ?
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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure
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?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

How many of the males surveyed responded that they do not play a school sport?

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Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure

Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence open parenthesis, plus, close parenthesis or absence open parenthesis, minus, close parenthesis 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 open parenthesis, minus, close parenthesis is chosen at random, the probability that the person has blood type B is one ninth . What is the value of x ?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

In a bag, there are 7 red, 4 white, 33 blue, and 33 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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

The table gives the distribution of votes for a new school mascot and grade level for 80 students.

Mascot Grade level
Sixth Seventh Eighth Total
Badger 4 9 9 22
Lion 9 2 9 20
Longhorn 4 6 4 14
Tiger 6 9 9 24
Total 23 26 31 80

If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? 

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

Each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table.

Classification Frequency
igneous 10
metamorphic 33
sedimentary 27

If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR

Each vertex of a 14 -sided polygon is labeled with one of the 14 letters A through N , with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter D will be at the selected vertex? (Express your answer as a decimal or fraction, not as a percent.)

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ

A band with 45 members has 11 members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?

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Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure
 PhoneEmail
Dinner dance55%80%
Football game20%10%
Picnic20%5%
Pool party5%5%
Total100%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?
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Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure

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 ?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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?

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

If one of the days on which there was no rain is selected at random, what is the probability the day was a weekend day?

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Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR

The table summarizes the distribution of age and assigned group for 90 participants in a study.

  0 9 years 10 19 years 20+ years Total
Group A 7 14 9 30
Group B 6 4 20 30
Group C 17 12 1 30
Total 30 30 30 90

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 10 years of age? (Express your answer as a decimal or fraction, not as a percent.)

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Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR

At a conference, there are a total of 275 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 0.44 and the probability of selecting an attendee who is assigned to group B is 0.24 . How many attendees are assigned to group C?

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Easy Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure

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 ?

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