# MCQs:Probability:Mathematics MCQs

# 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**