Probabilistic Reasoning Practice Questions

1. A fair six-sided die is rolled three times. What is the probability of getting at least one 6?

91/216

125/216

1/6

5/6

2. In a standard deck of 52 cards, what is the probability of drawing a red card or an ace?

13/26

27/52

14/26

29/52

3. If you roll two fair six-sided dice, what is the probability that the sum of the numbers is 8?

1/9

5/36

1/6

7/36

4. In a group of 70 people, 40 like coffee, 35 like tea, and 15 like both. What is the probability that a randomly selected person likes neither coffee nor tea?

1/7

2/7

3/14

5/14

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

0.1715

0.1755

0.1795

0.1835

6. A bag contains 12 white balls, 8 black balls, and 6 red balls. Three balls are drawn at random without replacement. What is the probability that all three balls are of different colors?

11/65

13/65

17/65

19/65

7. In a standard deck of 52 cards, what is the probability of drawing a red card or a face card?

7/13

8/13

9/13

10/13

8. In a group of 50 people, 30 speak English and 25 speak French. If 5 people speak neither language, how many speak both languages?

5

10

15

20

9. If the probability of rain on Saturday is 0.4 and the probability of rain on Sunday is 0.3, what is the probability that it will rain on both days? (Assume the events are independent)

0.12

0.7

0.58

0.1

10. 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