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Probability


1. Three fair eight-sided dice are rolled. What is the probability of getting at least one 8?

7/512

1/512

15/512

57/512


2. A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing a heart card?

1/4

1/13

3/13

1/52


3. Two fair six-sided dice are rolled. What is the probability of getting a sum of 11 or 12?

1/6

1/9

1/12

1/36


4. A bag contains 7 red cards and 5 black cards. Three cards are drawn at random without replacement. What is the probability of getting at least one black card?

23/44

11/44

5/44

7/22


5. A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing a heart card and then a spade card (without replacement)?

1/26

1/34

1/52

1/104


6. A box contains 8 white balls and 6 black balls. If two balls are drawn at random with replacement, what is the probability of getting two white balls?

1/7

2/7

4/7

3/7


7. Two fair ten-sided dice are rolled. What is the probability of getting a sum greater than 12?

1/100

1/50

1/25

1/20


8. 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


9. Three fair six-sided dice are rolled. What is the probability of getting all even numbers?

1/8

1/27

1/64

1/216


10. A bag contains 10 red cards and 8 black cards. Three cards are drawn at random without replacement. What is the probability of getting exactly two red cards?

3/70

1/56

5/56

5/72