Probability

1. Which of the following describes probability?

a) The likelihood of an event occurring

b) The number of times an event occurs

c) The ratio of the total number of outcomes to the favorable outcomes

Answer: a) The likelihood of an event occurring

2. What is the probability of getting heads when flipping a fair coin?

a) 1/2

b) 1/3

c) 2/3

Answer: a) 1/2

3. What is the probability of rolling a 4 on a standard die?

a) 1/6

b) 1/3

c) 1/4

Answer: a) 1/6

4. What is the probability of rolling an even number on a standard die?

a) 1/2

b) 1/3

c) 1/4

Answer: a) 1/2

5. What is the probability of drawing a heart from a standard deck of cards?

a) 1/4

b) 1/2

c) 1/13

Answer: a) 1/4

6. What is the probability of drawing an ace from a standard deck of cards?

a) 1/13

b) 1/4

c) 1/2

Answer: a) 1/13

7. If you flip a fair coin twice, what is the probability of getting heads both times?

a) 1/4

b) 1/2

c) 1/3

Answer: a) 1/4

8. If you roll a standard die twice, what is the probability of rolling two 1s?

a) 1/36

b) 1/6

c) 1/12

Answer: a) 1/36

9. If you draw two cards from a standard deck of cards without replacement, what is the probability of drawing two hearts?

a) 1/17

b) 1/26

c) 1/39

Answer: a) 1/17

10. If you roll a standard die once and flip a fair coin once, what is the probability of rolling a 3 and getting tails on the coin flip?

a) 1/12

b) 1/6

c) 1/4

Answer: b) 1/6

11. Which of the following describes a mutually exclusive event?

a) Two events that cannot occur at the same time

b) Two events that must occur at the same time

c) Two events that have no relationship to each other

Answer: a) Two events that cannot occur at the same time

12. If you roll a standard die, what is the probability of rolling a number less than 7?

a) 1/6

b) 1/3

c) 1

Answer: c) 1

13. If you draw a card from a standard deck of cards, what is the probability of drawing a red card?

a) 1/2

b) 1/3

c) 2/3

Answer: a) 1/2

14. If you roll a standard die, what is the probability of rolling an odd number or a number greater than 4?

a) 2/3

b) 1/2

c) 1/3

Answer: a) 2/3

15. If you flip a fair coin three times, what is the probability of getting exactly two heads?

a) 1/8

b) 3/8

c) 1/4

Answer: b) 3/8

16. If you roll a standard die three times, what is the probability of rolling three 6s?

a) 1/36

b) 1/216

c) 1/18

Answer: b) 1/216

17. If you draw a card from a standard deck of cards and replace it before drawing again, what is the probability of drawing two kings in a row?

a) 1/169

b) 1/26

c) 1/52

Answer: c) 1/52

18. If you flip a fair coin four times, what is the probability of getting at least one head?

a) 1/16

b) 15/16

c) 1/4

Answer: b) 15/16

19. If you roll a standard die five times, what is the probability of rolling exactly two 2s and three 4s?

a) 1/162

b) 5/324

c) 10/162

Answer: b) 5/324

20. Which of the following describes the complement of an event?

a) The set of all outcomes that are not in the event

b) The set of all outcomes that are in the event

c) The set of all possible outcomes

Answer: a) The set of all outcomes that are not in the event

21. If you flip a fair coin six times, what is the probability of getting exactly three heads?

a) 5/16

b) 15/32

c) 1/8

Answer: b) 15/32

22. If you roll a standard die seven times, what is the probability of rolling at least one 6?

a) 1/2

b) 1/128

c) 279/128

Answer: c) 279/128

23. If you draw two cards from a standard deck of cards without replacement, what is the probability of drawing a spade and a heart?

a) 1/34

b) 1/26

c) 1/17

Answer: a) 1/34

24. If you flip a fair coin eight times, what is the probability of getting at least one tail?

a) 1/256

b) 255/256

c) 1/128

Answer: b) 255/256

25. If you roll a standard die ten times, what is the probability of rolling exactly one 5?

a) 10/6

b) 5/6

c) 1/6

Answer: a) 10/6 or 5/3

26. Which of the following describes a dependent event?

a) Two events that have no relationship to each other

b) Two events that are affected by each other

c) Two events that cannot occur at the same time

Answer: b) Two events that are affected by each other

27. If you draw two cards from a standard deck of cards without replacement, what is the probability of drawing two black cards?

a) 1/17

b) 1/26

c) 1/2

Answer: b) 1/26