Probability
Probability - Important Points
| 11. | 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? |
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A. 5/24
B. 9/64
C. 25/64
D. 15/64
View Answer Discuss Work SpaceAnswer: option d
Explanation:
| 12. | A fair six-sided die is rolled twice. What is the probability of rolling two consecutive odd numbers? |
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A. 1/3
B. 1/4
C. 1/9
D. 1/6
View Answer Discuss Work SpaceAnswer: option c
Explanation:
| 13. | A bag contains 4 red balls and 5 blue balls. Three balls are drawn at random without replacement. What is the probability of getting at least two red balls? |
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A. 1/30
B. 2/21
C. 13/42
D. 4/9
View Answer Discuss Work SpaceAnswer: option b
Explanation:
The probability of getting exactly two red balls can be calculated as follows:
(4/9) * (3/8) * (5/7) = 60/504, which simplifies to 5/42.
The probability of getting three red balls can be calculated as:
(4/9) * (3/8) * (2/7) = 24/504, which simplifies to 1/21.
To find the probability of getting at least two red balls, we add the probabilities of getting exactly two and three red balls: 5/42 + 1/21 = 2/21.
| 14. | 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? |
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A. 3/256
B. 15/256
C. 20/256
D. 25/256
View Answer Discuss Work SpaceAnswer: option b
Explanation:
The probability of getting exactly three red balls can be calculated as follows:
(10/18) * (10/18) * (10/18) * (8/18) = 8000/104976, which simplifies to 25/324. Since the balls are drawn with replacement, the probabilities are independent. Therefore, the probability of getting exactly three red balls is 25/324.
| 15. | 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? |
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A. 1/10
B. 2/15
C. 1/6
D. 2/9
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Probability Questions and Answers FAQ
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