Probabilistic Reasoning Practice Questions

Probabilistic Reasoning Practice Questions

1. A fair coin is tossed 4 times. What is the probability of getting at least one tail?
1/16
15/16
1/2
7/8
2. A bag contains 10 red marbles, 8 blue marbles, and 6 green marbles. Four marbles are drawn at random without replacement. What is the probability that at least one marble of each color is drawn?
5/12
7/15
11/21
13/24
3. In a group of 100 people, 60 speak English, 40 speak Spanish, and 20 speak both languages. What is the probability that a randomly selected person speaks at least one of these languages?
0.6
0.8
0.9
1.0
4. A bag contains 5 red marbles and 7 blue marbles. If you draw three marbles without replacement, what is the probability that at least one is red?
5/12
7/12
11/12
1
5. In a group of 200 people, 120 own a car, 80 own a bike, and 40 own both. What is the probability that a randomly selected person owns either a car or a bike?
0.6
0.7
0.8
0.9
6. If the probability of an event A is 0.3 and the probability of event B is 0.4, what is the probability that neither event occurs? (Assume the events are independent)
0.3
0.42
0.58
0.7
7. A fair coin is tossed 10 times. What is the probability of getting exactly 5 heads?
63/256
63/512
252/1024
63/128
8. A box contains 3 red balls, 4 blue balls, and 5 green balls. If you draw three balls without replacement, what is the probability that you draw one of each color?
1/4
1/3
5/12
1/2
9. 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
10. In a standard deck of 52 cards, what is the probability of drawing a heart or an even-numbered card?
25/52
13/26
27/52
7/13
Questions Answered: 0/10

Leave a Reply

Your email address will not be published. Required fields are marked *