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Probability


1. A bag contains 5 red balls and 7 blue balls. Three balls are drawn at random without replacement. What is the probability of getting all blue balls?

35/144

10/144

5/144

1/144


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

1/8

1/27

1/64

1/216


3. A deck of 52 cards contains 4 suits (hearts, diamonds, clubs, and spades) with 13 cards each. What is the probability of drawing a heart or a diamond from the deck?

1/4

1/2

3/4

2/5


4. A fair six-sided die is rolled twice. What is the probability of rolling two consecutive odd numbers?

1/3

1/4

1/9

1/6


5. A bag contains 5 red cards, 3 black cards, and 4 blue cards. If one card is drawn randomly, what is the probability of getting a red card?

1/12

5/12

3/12

5/9


6. 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


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 box contains 6 white balls and 4 black balls. Two balls are drawn at random without replacement. What is the probability of getting two black balls?

1/10

2/15

1/6

2/9


9. A box contains 10 red balls and 8 blue balls. Two balls are drawn at random without replacement. What is the probability of getting one red ball and one blue ball?

1/4

20/81

4/27

5/18


10. 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