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A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book?
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A certain book rack contains a total of 150 hardcover books and 250 pa...
The book rack contains a total of 150 hardcover books and 250 paperback books, for a total of 150 + 250 = 400 books.
30% of the hardcover books are novels, which is 150 * 30% = 45 hardcover novels.
10% of the paperback books are novels, which is 250 * 10% = 25 paperback novels.
In total, there are 45 + 25 = 70 novels in the book rack.
Thus, the probability that a randomly selected book is a hardcover novel is 45/70 = 15/28.
The probability that a randomly selected book is a hardcover book, given that it is a novel, is therefore 15/28 * 1/70 = 15/1960.
This means that if a book is randomly selected from the rack and is found to be a novel, the probability that it is a hardcover book is 15/1960, or approximately 0.0077.
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A certain book rack contains a total of 150 hardcover books and 250 pa...
Introduction:
We are given that there is a certain book rack containing a total of 150 hardcover books and 250 paperback books. We are also given that 30% of the hardcover books and 10% of the paperback books are novels. We need to find the probability that a randomly selected novel is a hardcover book.
Calculating the number of novels:
To calculate the number of novels, we need to find 30% of the number of hardcover books and 10% of the number of paperback books.
- Number of hardcover novels = 30% of 150 = 0.3 * 150 = 45
- Number of paperback novels = 10% of 250 = 0.1 * 250 = 25
Calculating the probability:
To calculate the probability that a randomly selected novel is a hardcover book, we need to divide the number of hardcover novels by the total number of novels.
- Total number of novels = Number of hardcover novels + Number of paperback novels = 45 + 25 = 70
- Probability of selecting a hardcover novel = Number of hardcover novels / Total number of novels = 45 / 70 ≈ 0.643
Explanation:
The probability that a randomly selected novel is a hardcover book is approximately 0.643. This means that out of all the novels on the book rack, there is a 64.3% chance that the selected novel is a hardcover book.
This probability is calculated by dividing the number of hardcover novels by the total number of novels. The number of hardcover novels is found by multiplying the percentage of hardcover novels (30%) by the total number of hardcover books (150). Similarly, the number of paperback novels is found by multiplying the percentage of paperback novels (10%) by the total number of paperback books (250).
By dividing the number of hardcover novels by the total number of novels, we get the probability of selecting a hardcover novel. In this case, the probability is approximately 0.643.
Conclusion:
The probability that a randomly selected novel is a hardcover book is approximately 0.643. This means that there is a 64.3% chance that the selected novel is a hardcover book.
We are given that there is a certain book rack containing a total of 150 hardcover books and 250 paperback books. We are also given that 30% of the hardcover books and 10% of the paperback books are novels. We need to find the probability that a randomly selected novel is a hardcover book.
Calculating the number of novels:
To calculate the number of novels, we need to find 30% of the number of hardcover books and 10% of the number of paperback books.
- Number of hardcover novels = 30% of 150 = 0.3 * 150 = 45
- Number of paperback novels = 10% of 250 = 0.1 * 250 = 25
Calculating the probability:
To calculate the probability that a randomly selected novel is a hardcover book, we need to divide the number of hardcover novels by the total number of novels.
- Total number of novels = Number of hardcover novels + Number of paperback novels = 45 + 25 = 70
- Probability of selecting a hardcover novel = Number of hardcover novels / Total number of novels = 45 / 70 ≈ 0.643
Explanation:
The probability that a randomly selected novel is a hardcover book is approximately 0.643. This means that out of all the novels on the book rack, there is a 64.3% chance that the selected novel is a hardcover book.
This probability is calculated by dividing the number of hardcover novels by the total number of novels. The number of hardcover novels is found by multiplying the percentage of hardcover novels (30%) by the total number of hardcover books (150). Similarly, the number of paperback novels is found by multiplying the percentage of paperback novels (10%) by the total number of paperback books (250).
By dividing the number of hardcover novels by the total number of novels, we get the probability of selecting a hardcover novel. In this case, the probability is approximately 0.643.
Conclusion:
The probability that a randomly selected novel is a hardcover book is approximately 0.643. This means that there is a 64.3% chance that the selected novel is a hardcover book.
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A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book?
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A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book?.
A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain book rack contains a total of 150 hardcover books and 250 paperback books. 30% of the hardcover books and 10% of the paperback books are novels. If a book is randomly selected from the rack and is found to be a novel, then what is the probability that it is a hardcover book?.
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