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Probability


1. A bag contains 6 red cards and 4 black cards. Two cards are drawn at random without replacement. What is the probability of getting one red card and one black card?

3/10

2/9

1/4

1/3


2. Two fair six-sided dice are rolled. What is the probability of getting a sum of 7?

1/6

1/9

1/12

1/36


3. A box contains 5 red balls and 7 blue balls. Three balls are drawn at random without replacement. What is the probability of getting exactly one red ball?

10/105

14/105

15/105

20/105


4. A bag contains 10 red balls and 8 blue balls. Four balls are drawn at random with replacement. What is the probability of getting exactly three red balls?

3/256

15/256

20/256

25/256


5. Three fair coins are tossed simultaneously. What is the probability of getting exactly two heads?

1/8

3/8

3/16

1/4


6. A bag contains 5 green marbles and 3 blue marbles. Two marbles are drawn randomly with replacement. What is the probability of getting two green marbles?

5/24

9/64

25/64

15/64


7. A box contains 5 red balls and 3 blue balls. Three balls are drawn at random with replacement. What is the probability of getting all red balls?

5/243

1/243

125/243

27/243


8. A fair coin is flipped four times. What is the probability of getting exactly three tails?

1/16

1/8

3/8

1/4


9. In a class, there are 8 boys and 6 girls. Two students are selected at random to represent the class. What is the probability of selecting two boys?

4/21

16/91

1/7

2/7


10. A bag contains 6 red marbles and 4 blue marbles. Two marbles are drawn randomly without replacement. What is the probability of getting two red marbles?

1/5

3/10

2/5

3/5