Probability and Statistics – 4th Grade
1. The average of six numbers is 7. If two of the six numbers are removed, the average of the
remaining numbers is 8. What is the sum of the two numbers which were removed?
2. If I roll two dice, what is the probability that the two dice sum to 5? Answer as a reduced
fraction.
3. Six people participated in a checker tournament. Each participant played exactly three games with
each of the other participants. How many games were played in all?
4. A fair coin is flipped 100 times and lands heads 65 times. What is the probability that the coin will
land heads if it is flipped one more time? Answer as a reduced fraction.
5. A jar contains two red marbles, three blue marbles, and four green marbles. Niki draws one marble
from the jar, and then Tom draws a marble from those remaining. What is the probablity that Niki
draws a green marble and Tom draws a blue marble? Answer as a reduced fraction.
6. In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth
game in order to have an average score of 145 for all four games?
7. There are 5 people with 5 hats. The hats are put into a box. What is the probability that each person
will get his or her hat? Answer as a reduced fraction.
8. In a shipment of 100 televisions, 6 are defective. If a person buys 2 televisions from that shipment,
what is the probability that both are defective? Answer as a reduced fraction.
9. What is the probability of two different times within the same hour ending in the same last digit?
Like 08:13 and 08:43? Answer as a reduced fraction.
10. What is the average of the multiples of 7 from 7 through 777, inclusive?
Probability and Statistics – 5th Grade
1. Six people participated in a checker tournament. Each participant played exactly three games with
each of the other participants. How many games were played in all?
2. A fair coin is flipped 100 times and lands heads 65 times. What is the probability that the coin will
land heads if it is flipped one more time? Answer as a reduced fraction.
3. A jar contains two red marbles, three blue marbles, and four green marbles. Niki draws one marble
from the jar, and then Tom draws a marble from those remaining. What is the probablity that Niki
draws a green marble and Tom draws a blue marble? Answer as a reduced fraction.
4. In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth
game in order to have an average score of 145 for all four games?
5. There are 5 people with 5 hats. The hats are put into a box. What is the probability that each person
will get his or her hat? Answer as a reduced fraction.
6. In a shipment of 100 televisions, 6 are defective. If a person buys 2 televisions from that shipment,
what is the probability that both are defective? Answer as a reduced fraction.
7. What is the probability of two different times within the same hour ending in the same last digit?
Like 08:13 and 08:43? Answer as a reduced fraction.
8. What is the average of the multiples of 7 from 7 through 777, inclusive?
9. The probability that I wake up in a good mood is 80%. The probability that it is raining is 30%.
The probability that I have a math class is 70%. What is the probability that I have a perfect day – a
day in which I wake up in a good mood, it is not raining, and I have a math class? Answer to the
nearest whole percent.
10. I have 6 differently colored beads to make a circular bracelet. How many different ways could I
arrange the beads?
Probability and Statistics – 6th Grade
1. A jar contains two red marbles, three blue marbles, and four green marbles. Niki draws one marble
from the jar, and then Tom draws a marble from those remaining. What is the probablity that Niki
draws a green marble and Tom draws a blue marble? Answer as a reduced fraction.
2. In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth
game in order to have an average score of 145 for all four games?
3. There are 5 people with 5 hats. The hats are put into a box. What is the probability that each person
will get his or her hat? Answer as a reduced fraction.
4. In a shipment of 100 televisions, 6 are defective. If a person buys 2 televisions from that shipment,
what is the probability that both are defective? Answer as a reduced fraction.
5. What is the probability of two different times within the same hour ending in the same last digit?
Like 08:13 and 08:43? Answer as a reduced fraction.
6. What is the average of the multiples of 7 from 7 through 777, inclusive?
7. The probability that I wake up in a good mood is 80%. The probability that it is raining is 30%.
The probability that I have a math class is 70%. What is the probability that I have a perfect day – a
day in which I wake up in a good mood, it is not raining, and I have a math class? Answer to the
nearest whole percent.
8. I have 6 differently colored beads to make a circular bracelet. How many different ways could I
arrange the beads?
9. A target has a bulls-eye of radius 1. There are two concentric circles surrounding the bulls-eye with
radius 2 and radius 3. If a dart is equally likely to land anywhere within the target, what is the
probability that a dart lands in the circle of radius 2, but not inside the bulls-eye? Answer as a
reduced fraction.
10. The digits 1, 3, 5, 7, and 9 are each written on separate cards and placed in a bag. I f three of the
digits are drawn in order to make a three-digit number, what is the probability that the three-digit
number is divisible by 15? Answer as a reduced fraction.
Probability and Statistics – 7th Grade
1. There are 5 people with 5 hats. The hats are put into a box. What is the probability that each person
will get his or her hat? Answer as a reduced fraction.
2. In a shipment of 100 televisions, 6 are defective. If a person buys 2 televisions from that shipment,
what is the probability that both are defective? Answer as a reduced fraction.
3. What is the probability of two different times within the same hour ending in the same last digit?
Like 08:13 and 08:43? Answer as a reduced fraction.
4. What is the average of the multiples of 7 from 7 through 777, inclusive?
5. The probability that I wake up in a good mood is 80%. The probability that it is raining is 30%.
The probability that I have a math class is 70%. What is the probability that I have a perfect day – a
day in which I wake up in a good mood, it is not raining, and I have a math class? Answer to the
nearest whole percent.
6. I have 6 differently colored beads to make a circular bracelet. How many different ways could I
arrange the beads?
7. A target has a bulls-eye of radius 1. There are two concentric circles surrounding the bulls-eye with
radius 2 and radius 3. If a dart is equally likely to land anywhere within the target, what is the
probability that a dart lands in the circle of radius 2, but not inside the bulls-eye? Answer as a
reduced fraction.
8. The digits 1, 3, 5, 7, and 9 are each written on separate cards and placed in a bag. I f three of the
digits are drawn in order to make a three-digit number, what is the probability that the three-digit
number is divisible by 15? Answer as a reduced fraction.
9. If I spell out the numbers from 0 to 99, what is the probability that a randomly selected number
begins with a vowel? Answer as a reduced fraction.
10. There are 9 popsicles: 3 orange, 3 cherry, 3 grape. There are 4 children. What is the probability that
all 4 children will get the flavor of their choice? Answer as a reduced fraction.
Probability and Statistics – 8th Grade
1. There are 5 people with 5 hats. The hats are put into a box. What is the probability that each person
will get his or her hat? Answer as a reduced fraction.
2. In a shipment of 100 televisions, 6 are defective. If a person buys 2 televisions from that shipment,
what is the probability that both are defective? Answer as a reduced fraction.
3. What is the probability of two different times within the same hour ending in the same last digit?
Like 08:13 and 08:43? Answer as a reduced fraction.
4. What is the average of the multiples of 7 from 7 through 777, inclusive?
5. The probability that I wake up in a good mood is 80%. The probability that it is raining is 30%.
The probability that I have a math class is 70%. What is the probability that I have a perfect day – a
day in which I wake up in a good mood, it is not raining, and I have a math class? Answer to the
nearest whole percent.
6. I have 6 differently colored beads to make a circular bracelet. How many different ways could I
arrange the beads?
7. A target has a bulls-eye of radius 1. There are two concentric circles surrounding the bulls-eye with
radius 2 and radius 3. If a dart is equally likely to land anywhere within the target, what is the
probability that a dart lands in the circle of radius 2, but not inside the bulls-eye? Answer as a
reduced fraction.
8. The digits 1, 3, 5, 7, and 9 are each written on separate cards and placed in a bag. I f three of the
digits are drawn in order to make a three-digit number, what is the probability that the three-digit
number is divisible by 15? Answer as a reduced fraction.
9. If I spell out the numbers from 0 to 99, what is the probability that a randomly selected number
begins with a vowel? Answer as a reduced fraction.
10. There are 9 popsicles: 3 orange, 3 cherry, 3 grape. There are 4 children. What is the probability that
all 4 children will get the flavor of their choice? Answer as a reduced fraction.