Probability and Statistical Analysis in Categorical Data Quiz

Test your knowledge of probability theory with these categorical data questions. Calculate probabilities, find modes, means, and medians.

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What is the probability of rolling a prime number on a fair six-sided die?

1/2

1/3

1/6

1/4

In a survey of 500 people, 300 preferred chocolate ice cream, 150 preferred vanilla, and the rest preferred strawberry. What is the probability that a randomly chosen person prefers strawberry ice cream?

0.10

0.15

0.20

0.25

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

13/52

26/52

39/52

52/52

What is the mean of the following dataset: {10, 15, 20, 25, 30, 35, 40}?

27.5

32.5

If the odds in favor of an event are 3 to 2, what is the probability of the event occurring?

3/5

2/5

3/2

2/3

What is the median of the following dataset: {12, 15, 18, 22, 25, 29, 32, 36}?

If the odds against an event are 4 to 1, what is the probability of the event occurring?

1/5

1/4

4/5

4/1

What is the mode of the following dataset: {5, 7, 9, 7, 9, 5, 7, 5, 5, 9, 5}?

None

What is the median of the following dataset: {7, 11, 15, 19, 23, 27, 31, 35}?

#10

What is the mode of the following dataset: {2, 3, 5, 7, 2, 8, 2, 9, 2, 7, 6}?

#11

If events A and B are independent, what is the probability of both events occurring?

P(A) + P(B)

P(A) * P(B)

P(A) - P(B)

P(A) / P(B)

#12

If events A and B are mutually exclusive, what is the probability of either event A or event B occurring?

P(A) + P(B)

P(A) * P(B)

P(A) - P(B)

P(A) / P(B)

#13

A factory produces three types of products: A, B, and C. The probability of producing product A is 0.3, product B is 0.5, and product C is 0.2. What is the probability of producing either product A or product B?

0.3

0.5

0.7

0.8

#14

If events A and B are independent, what is the probability of event A not occurring?

1 - P(A)

P(A) + P(B)

P(A) - P(B)

1 / P(A)

#15

A bag contains 5 red balls, 4 blue balls, and 3 green balls. If a ball is randomly chosen from the bag, what is the probability of selecting a red or a blue ball?

1/4

1/3

2/3

3/4

#16

If events A and B are mutually exclusive, what is the probability of event B not occurring?

1 - P(B)

P(B)

1 / P(B)

P(B) - 1

#17

A jar contains 10 red marbles, 8 blue marbles, and 6 green marbles. If a marble is randomly chosen from the jar, what is the probability of selecting a blue or a green marble?

7/12

2/3

5/6

3/4

#18

If events A and B are independent, what is the probability of neither event A nor event B occurring?

1 - P(A) - P(B)

1 - P(A) * P(B)

1 - P(A) + P(B)

1 / (P(A) + P(B))

#19

In a group of 80 students, 45 are in the chess club, 35 are in the math club, and 20 are in both clubs. What is the probability that a randomly chosen student is in neither club?

0.25

0.35

0.45

0.55

#20

In a survey, 60% of people prefer tea and 40% prefer coffee. If a person is randomly selected from the survey, what is the probability that the person prefers both tea and coffee?

0.24

0.36

0.12

0.48

#21

In a class of 30 students, 18 play football, 15 play basketball, and 10 play both football and basketball. What is the probability that a randomly selected student plays either football or basketball?

0.5

0.6

0.7

0.8

#22

In a group of 50 students, 30 are girls and 20 are boys. If 15 students play football and 10 play basketball, how many students play neither football nor basketball?

#23

In a survey, 60% of people like apples, 40% like bananas, and 30% like both apples and bananas. What percentage of people like neither apples nor bananas?

10%

20%

30%

40%

#24

In a factory, there are 80 workers. If 45 workers prefer morning shifts, 35 prefer evening shifts, and 20 workers prefer both shifts, what is the probability that a randomly chosen worker prefers only the evening shift?

0.125

0.175

0.225

0.275

Probability and Statistical Analysis in Categorical Data Quiz

What is the probability of rolling a prime number on a fair six-sided die?

In a survey of 500 people, 300 preferred chocolate ice cream, 150 preferred vanilla, and the rest preferred strawberry. What is the probability that a randomly chosen person prefers strawberry ice cream?

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

What is the mean of the following dataset: {10, 15, 20, 25, 30, 35, 40}?

If the odds in favor of an event are 3 to 2, what is the probability of the event occurring?

What is the median of the following dataset: {12, 15, 18, 22, 25, 29, 32, 36}?

If the odds against an event are 4 to 1, what is the probability of the event occurring?

What is the mode of the following dataset: {5, 7, 9, 7, 9, 5, 7, 5, 5, 9, 5}?

What is the median of the following dataset: {7, 11, 15, 19, 23, 27, 31, 35}?

What is the mode of the following dataset: {2, 3, 5, 7, 2, 8, 2, 9, 2, 7, 6}?

If events A and B are independent, what is the probability of both events occurring?

If events A and B are mutually exclusive, what is the probability of either event A or event B occurring?

A factory produces three types of products: A, B, and C. The probability of producing product A is 0.3, product B is 0.5, and product C is 0.2. What is the probability of producing either product A or product B?

If events A and B are independent, what is the probability of event A not occurring?

A bag contains 5 red balls, 4 blue balls, and 3 green balls. If a ball is randomly chosen from the bag, what is the probability of selecting a red or a blue ball?

If events A and B are mutually exclusive, what is the probability of event B not occurring?

A jar contains 10 red marbles, 8 blue marbles, and 6 green marbles. If a marble is randomly chosen from the jar, what is the probability of selecting a blue or a green marble?

If events A and B are independent, what is the probability of neither event A nor event B occurring?

In a group of 80 students, 45 are in the chess club, 35 are in the math club, and 20 are in both clubs. What is the probability that a randomly chosen student is in neither club?

In a survey, 60% of people prefer tea and 40% prefer coffee. If a person is randomly selected from the survey, what is the probability that the person prefers both tea and coffee?

In a class of 30 students, 18 play football, 15 play basketball, and 10 play both football and basketball. What is the probability that a randomly selected student plays either football or basketball?

In a group of 50 students, 30 are girls and 20 are boys. If 15 students play football and 10 play basketball, how many students play neither football nor basketball?

In a survey, 60% of people like apples, 40% like bananas, and 30% like both apples and bananas. What percentage of people like neither apples nor bananas?

In a factory, there are 80 workers. If 45 workers prefer morning shifts, 35 prefer evening shifts, and 20 workers prefer both shifts, what is the probability that a randomly chosen worker prefers only the evening shift?

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