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Probability


1. A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing an ace or a king?

1/13

1/26

1/6

1/4


2. 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


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

6/20

5/16

9/16

1/4


4. 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


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 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


7. A bag contains 7 red candies, 5 green candies, and 4 blue candies. If one candy is randomly chosen, what is the probability of getting a red or green candy?

7/16

12/16

11/16

9/16


8. In a bag, there are 5 red balls, 3 green balls, and 2 blue balls. If one ball is randomly drawn, what is the probability of getting a green ball?

1/4

1/5

3/10

3/9


9. 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


10. 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