Probabilistic Reasoning Practice Questions

Probabilistic Reasoning Practice Questions

Probabilistic Reasoning Practice Questions

1. If the probability of rain on Saturday is 0.3 and the probability of rain on Sunday is 0.4, what is the probability that it will rain on at least one of these days? (Assume the events are independent)
0.58
0.7
0.12
0.42
2. A fair coin is tossed 12 times. What is the probability of getting exactly 6 heads?
495/4096
231/1024
63/256
1/4
3. If the probability of event A is 0.6 and the probability of event B is 0.7, what is the probability that neither event occurs? (Assume the events are independent)
0.12
0.18
0.42
0.58
4. If you draw a card from a standard deck and then draw a second card without replacing the first, what is the probability that both cards are spades?
1/4
1/13
1/16
1/17
5. A bag contains 8 red balls and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that the second ball drawn is red, given that the first ball drawn was blue?
4/7
8/13
1/2
3/7
6. In a standard deck of 52 cards, what is the probability of drawing a face card (Jack, Queen, or King) or an Ace?
4/13
1/3
7/13
1/2
7. In a class of 40 students, 25 play football and 20 play basketball. If 10 students play both sports, how many students play at least one sport?
25
30
35
40
8. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are red?
1/6
2/9
1/3
5/18
9. 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
10. If you roll two fair six-sided dice, what is the probability that the product of the two numbers is even?
1/4
1/3
1/2
3/4
Questions Answered: 0/10