Probabilistic Reasoning Practice Questions

1. In a group of 60 people, 35 like pizza, 40 like burgers, and 20 like both. What is the probability that a randomly selected person likes either pizza or burgers?

11/12

5/6

3/4

55/60

2. In a bag, there are 5 red marbles, 3 blue marbles, and 2 green marbles. If you draw one marble at random, what is the probability of drawing a red marble?

1/2

1/3

1/5

1/10

3. In a group of 20 people, 12 like coffee and 15 like tea. If 3 people like neither coffee nor tea, how many like both?

7

8

9

10

4. A fair six-sided die is rolled twice. What is the probability that the first roll is higher than the second roll?

1/3

5/12

1/2

7/12

5. If you roll a fair six-sided die twice, what is the probability that the sum of the two rolls is greater than 9?

5/36

1/4

1/6

7/36

6. A fair six-sided die is rolled twice. What is the probability of getting a sum of 7?

1/6

5/36

1/4

7/36

7. A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. If you draw two marbles without replacement, what is the probability that they are of different colors?

37/66

29/66

1/2

2/3

8. In a standard deck of 52 cards, what is the probability of drawing a card that is either a heart or a king or both?

13/52

14/52

15/52

16/52

9. A fair coin is tossed 25 times. What is the probability of getting exactly 12 heads?

0.1715

0.1755

0.1795

0.1835

10. A fair six-sided die is rolled. What is the probability of rolling a prime number?

1/6

1/3

1/2

2/3