Statistics & Probability - 7th Grade Math
Card 0 of 776
After a school choir concert, the music teacher wanted to know what the student body thought about the song choices. Select the option that best represents a sample.
After a school choir concert, the music teacher wanted to know what the student body thought about the song choices. Select the option that best represents a sample.
In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.
Because we want a subset, we don't want the entire population, which eliminates the answer choice "Everyone who was at the choir concert ". Also, the teacher wants to know what the student body thought about the songs, not the teachers, which eliminates "All of the teachers". Finally, the music teacher didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the concert" the best answer choice.
In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.
Because we want a subset, we don't want the entire population, which eliminates the answer choice "Everyone who was at the choir concert ". Also, the teacher wants to know what the student body thought about the songs, not the teachers, which eliminates "All of the teachers". Finally, the music teacher didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the concert" the best answer choice.
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A pair of fair dice are thrown. Which of these events has probability 
?
A pair of fair dice are thrown. Which of these events has probability
One-ninth of the 36 possible rolls is 4, so we are looking for an outcome that can happen four ways.
There are 6 ways that both dice can show the same number - double 1, double 2, and so forth.
There are 3 ways to roll a sum of 10: (4,6), (5,5), and (6,4).
There are 6 ways to roll a sum divisible by 6: (1,5), (2,4), (3,3), (4,2), and (5,1) all yield 6, and (6,6) yields 12.
There are 4 ways to roll a sum of 5: (1,4), (2,3), (3,2), and (4,1).
There are 3 ways to roll a sum of 4: (1,3), (2,2), (3,1).
The correct choice is the event that the sum of the dice is 5.
One-ninth of the 36 possible rolls is 4, so we are looking for an outcome that can happen four ways.
There are 6 ways that both dice can show the same number - double 1, double 2, and so forth.
There are 3 ways to roll a sum of 10: (4,6), (5,5), and (6,4).
There are 6 ways to roll a sum divisible by 6: (1,5), (2,4), (3,3), (4,2), and (5,1) all yield 6, and (6,6) yields 12.
There are 4 ways to roll a sum of 5: (1,4), (2,3), (3,2), and (4,1).
There are 3 ways to roll a sum of 4: (1,3), (2,2), (3,1).
The correct choice is the event that the sum of the dice is 5.
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A cable company wanted to find out what brand of TVs their customers use. Select the option that best represents a population.
A cable company wanted to find out what brand of TVs their customers use. Select the option that best represents a population.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cable company.
"The entire population in the United States" and "The entire population in Florida" are not the correct answer because not everyone in an entire population uses the same cable company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cable company.
"The entire population in the United States" and "The entire population in Florida" are not the correct answer because not everyone in an entire population uses the same cable company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
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A cell phone company wanted to find out what brand of phones their customers use. Select the option that best represents a population.
A cell phone company wanted to find out what brand of phones their customers use. Select the option that best represents a population.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cell phone company.
"The entire population in the United States" and "The entire population in Texas" are not the correct answer because not everyone in an entire population uses the same cell phone company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers of the cell phone company.
"The entire population in the United States" and "The entire population in Texas" are not the correct answer because not everyone in an entire population uses the same cell phone company, and this company is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
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A barbecue company wants to see if the people in Washington like their new flavor of barbecue. Select the option that best represents a population.
A barbecue company wants to see if the people in Washington like their new flavor of barbecue. Select the option that best represents a population.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied. In this case, people of Washington.
Because the barbecue company is only concerned about what the people in Washington thinks of their new barbecue flavor, we can eliminate the option for everyone in the United States, because we are focused on only one state. Also, a population includes both adults and children, which is why "Every person in Washington" is the best answer choice.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied. In this case, people of Washington.
Because the barbecue company is only concerned about what the people in Washington thinks of their new barbecue flavor, we can eliminate the option for everyone in the United States, because we are focused on only one state. Also, a population includes both adults and children, which is why "Every person in Washington" is the best answer choice.
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A company that produces eye glasses for children in the United States wants to see if kids like their new style of glasses. Select the option that best represents a population.
A company that produces eye glasses for children in the United States wants to see if kids like their new style of glasses. Select the option that best represents a population.
In order to answer this question, we first need to know what "population" means. A population is the entire group that is being studied. In this case, it's all of the kids in the United States.
Because the eye glasses company is only concerned about what kids think of their new style, we can eliminate all of the options that say "everyone" or "every adult", leaving us with "Every child in the United states" as our correct answer.
In order to answer this question, we first need to know what "population" means. A population is the entire group that is being studied. In this case, it's all of the kids in the United States.
Because the eye glasses company is only concerned about what kids think of their new style, we can eliminate all of the options that say "everyone" or "every adult", leaving us with "Every child in the United states" as our correct answer.
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After a school debate by the students running for student council, the principal wanted to know what the student body thought about the topics that were debated. Select the option that best represents a sample.
After a school debate by the students running for student council, the principal wanted to know what the student body thought about the topics that were debated. Select the option that best represents a sample.
In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.
Because we want a subset, we don't want the entire population, which eliminates the answer choices "Everyone who was at the debate ". Also, the principal wants to know what the student body thought about the topics debated, not the teachers, which eliminates "All of the teachers". Finally, the principal didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the debate" the best answer choice.
In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.
Because we want a subset, we don't want the entire population, which eliminates the answer choices "Everyone who was at the debate ". Also, the principal wants to know what the student body thought about the topics debated, not the teachers, which eliminates "All of the teachers". Finally, the principal didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the debate" the best answer choice.
Compare your answer with the correct one above
A grocery store wanted to find out what brand of chips their customers buy most often. Select the option that best represents a population.
A grocery store wanted to find out what brand of chips their customers buy most often. Select the option that best represents a population.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the grocery store.
"The entire population in the United States" and "The entire population in California" are not the correct answer because not everyone in an entire population shops at the same grocery store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the grocery store.
"The entire population in the United States" and "The entire population in California" are not the correct answer because not everyone in an entire population shops at the same grocery store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
Compare your answer with the correct one above
A clothing store wanted to find out what accessories their customers buy most often. Select the option that best represents a population.
A clothing store wanted to find out what accessories their customers buy most often. Select the option that best represents a population.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the clothing store.
"The entire population in the United States" and "The entire population in Indiana" are not the correct answer because not everyone in an entire population shops at the same clothing store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
In order to answer this question we first need to know what "population" means. A population is the entire group that is being studied, in this case all of the customers the shop at the clothing store.
"The entire population in the United States" and "The entire population in Indiana" are not the correct answer because not everyone in an entire population shops at the same clothing store, and this store is only concerned about their own customers. Also, a random sample does not represent a population, so that is not the correct answer.
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If John were to roll a die 
times, roughly how many times would he roll a 
If John were to roll a die
A die has 
sides, with each side displaying a number between 
.
Let's first determine the probability of rolling a 
after John rolls the die a single time.
There is a total of 
sides on a die and only one value of 
on one side; thus, our probability is:
This means that roughly 
of John's rolls will be a 
; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll a 
roughly 
times.
A die has
Let's first determine the probability of rolling a
There is a total of
This means that roughly
If John rolls a die
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If John were to roll a die 
times, roughly how many times would he roll a
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling a after John rolls the die a single time.
There is a total of sides on a die and only one value of on one side; thus, our probability is:
This means that roughly of John's rolls will be a ; therefore, in order to calculate the probability we can multiply by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll a roughly 
times.
A die has
Let's first determine the probability of rolling a
There is a total of
This means that roughly
If John rolls a die
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If John were to roll a die times, roughly how many times would he roll a 
or a 
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling a 
or a 
after John rolls the die a single time.
There is a total of sides on a die and we have one value of 
and one value of 
; thus, our probability is:
This means that roughly 
of John's rolls will be a 
or a 
; therefore, in order to calculate the probability we can multiply 
by —the number of times John rolls the die.
If John rolls a die times, then he will roll a 
or a 
roughly 
times.
A die has
Let's first determine the probability of rolling a
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
If John were to roll a die 
times, roughly how many times would he roll a 
or a 
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling a 
or a 
after John rolls the die a single time.
There is a total of sides on a die and we have one value of 
and one value of 
; thus, our probability is:
This means that roughly 
of John's rolls will be a 
or a 
; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll a 
or a 
roughly 
times.
A die has
Let's first determine the probability of rolling a
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
If John were to roll a die 
times, roughly how many times would he roll an even number?
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling an even number after John rolls the die a single time.
There is a total of sides on a die and 
even numbers: 
; thus, our probability is:
This means that roughly 
of John's rolls will be an even number; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll an even number roughly 
times.
A die has
Let's first determine the probability of rolling an even number after John rolls the die a single time.
There is a total of
This means that roughly
If John rolls a die
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If John were to roll a die 
times, roughly how many times would he roll an odd number?
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling an odd number after John rolls the die a single time.
There is a total of sides on a die and 
odd numbers: 
; thus, our probability is:
This means that roughly 
of John's rolls will be an odd number; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll an odd number roughly 
times.
A die has
Let's first determine the probability of rolling an odd number after John rolls the die a single time.
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
If John were to roll a die 
times, roughly how many times would he roll a 
, a 
, or a 
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling a 
, a 
, or a 
after John rolls the die a single time.
There is a total of sides on a die and we have one value of 
, one value of 
and one value of 
; thus, our probability is:
This means that roughly 
of John's rolls will be a 
, 
, or a 
; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll a 
, 
, or a 
roughly 
times.
A die has
Let's first determine the probability of rolling a
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
If John were to roll a die times, roughly how many times would he roll an odd number or a 
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling an odd number or a 
after John rolls the die a single time.
There is a total of sides on a die and 
odd numbers: 
and one 
; thus, our probability is:
This means that roughly 
of John's rolls will be an odd number or a 
; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll an odd number or a 
roughly 
times.
A die has
Let's first determine the probability of rolling an odd number or a
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
If John were to roll a die 
times, roughly how many times would he roll an even number or a 
If John were to roll a die
A die has sides, with each side displaying a number between .
Let's first determine the probability of rolling an even number or a 
after John rolls the die a single time.
There is a total of sides on a die and 
even numbers: 
and one 
; thus, our probability is:
This means that roughly 
of John's rolls will be an even number or a 
; therefore, in order to calculate the probability we can multiply 
by 
—the number of times John rolls the die.
If John rolls a die 
times, then he will roll an even number or a 
roughly 
times.
A die has
Let's first determine the probability of rolling an even number or a
There is a total of
This means that roughly
If John rolls a die
Compare your answer with the correct one above
A student flips a coin four times and rolls a six-sided die. What is the probability that the coin will land on heads all four times and the die will show a 
?
A student flips a coin four times and rolls a six-sided die. What is the probability that the coin will land on heads all four times and the die will show a 
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is 
To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.
Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a 
on a die. There are 
sides to a die, and only one of those sides has the number 
; thus, the probability of rolling a 
on a die is 
We want the probability of all of these events occurring, so we need to multiply:
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is
To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.
Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a
We want the probability of all of these events occurring, so we need to multiply:
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What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a 
on a die?
What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is 
To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.
Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a 
on a die. There are 
sides to a die, and only one of those sides has the number 
; thus, the probability of rolling a 
on a die is 
We want the probability of all of these events occurring, so we need to multiply:
There are two sides to a coin: heads and tails. The probability of the coin landing on heads is
To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.
Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a
We want the probability of all of these events occurring, so we need to multiply:
Compare your answer with the correct one above