Probability
Probability - Important Points
46. | 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? |
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A. 3/70
B. 1/56
C. 5/56
D. 5/72
View Answer Discuss Work SpaceAnswer: option b
Explanation:
The probability of getting exactly two red cards can be calculated as follows:
(10/18) * (9/17) * (8/16) = 720/4896, which simplifies to 15/104.
Therefore, the probability of getting exactly two red cards is 15/104 or 1/56.
47. | A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing a black face card (jack, queen, or king)? |
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A. 1/13
B. 1/26
C. 1/4
D. 3/13
View Answer Discuss Work SpaceAnswer: option c
Explanation:
48. | 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? |
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A. 3/10
B. 2/9
C. 1/4
D. 1/3
View Answer Discuss Work SpaceAnswer: option a
Explanation:
49. | A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing a spade card and then a heart card (without replacement)? |
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A. 1/102
B. 1/51
C. 1/26
D. 1/13
View Answer Discuss Work SpaceAnswer: option b
Explanation:
50. | 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? |
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A. 23/44
B. 11/44
C. 5/44
D. 7/22
View Answer Discuss Work SpaceAnswer: option d
Explanation:
The probability of getting no black card can be calculated as follows:
(5/12) * (4/11) * (3/10) = 60/1320, which simplifies to 1/22.
To find the probability of getting at least one black card, we subtract the probability of getting no black card from 1: 1 - 1/22 = 21/22. Therefore, the probability of getting at least one black card is 21/22.
Probability Questions and Answers FAQ
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