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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct
answer as
Assertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.
Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.
- a)Both assertion and reason are true and reason is the correct explanation of assertion
- b)Both assertion and reason are true but reason is not the correct explanation of assertion.
- c)Assertion is true but reason is false.
- d)Assertion is false but reason is true.
Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is gi...
P (selecting a girl) = y/(x+y)
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Direction: In the following questions, a statement of Assertion is gi...
Assertion : In a class there are x boys and y girls. A student is selected at random, then the probability of selecting a girl is y/x.
Reason : Probability of an event E of an experiment is the ratio of the number of trials in which event E has happened to the total number of trials.
To understand why the correct answer is option 'D', let's break down the assertion and reason separately.
Assertion: In a class, there are x boys and y girls. A student is selected at random, then the probability of selecting a girl is y/x.
This assertion is incorrect. The probability of selecting a girl cannot be determined solely based on the number of boys and girls in the class. The probability of selecting a girl depends on the ratio of the number of girls to the total number of students in the class, not just the number of girls to the number of boys.
Reason: Probability of an event E of an experiment is the ratio of the number of trials in which event E has happened to the total number of trials.
This reason is true. The probability of an event E happening is determined by the ratio of the number of successful outcomes (trials in which event E has happened) to the total number of possible outcomes (total number of trials).
Explanation:
The assertion assumes that the probability of selecting a girl is y/x, where x is the number of boys and y is the number of girls. However, this assumption is incorrect. The probability of selecting a girl should be y/(x+y), where (x+y) represents the total number of students in the class.
For example, if there are 20 boys and 30 girls in a class, the probability of selecting a girl at random would be 30/(20+30) = 30/50 = 0.6, or 60%.
Therefore, the assertion is false because it does not accurately represent the probability of selecting a girl in a class with x boys and y girls.
The reason, on the other hand, is true. The probability of an event E happening is determined by the ratio of the number of successful outcomes to the total number of possible outcomes. This is a fundamental concept in probability theory.
In conclusion, the correct answer is option 'D' because the assertion is false, and the reason is true, but it does not provide a correct explanation for the assertion. The probability of selecting a girl cannot be determined solely based on the number of boys and girls in the class.
Reason : Probability of an event E of an experiment is the ratio of the number of trials in which event E has happened to the total number of trials.
To understand why the correct answer is option 'D', let's break down the assertion and reason separately.
Assertion: In a class, there are x boys and y girls. A student is selected at random, then the probability of selecting a girl is y/x.
This assertion is incorrect. The probability of selecting a girl cannot be determined solely based on the number of boys and girls in the class. The probability of selecting a girl depends on the ratio of the number of girls to the total number of students in the class, not just the number of girls to the number of boys.
Reason: Probability of an event E of an experiment is the ratio of the number of trials in which event E has happened to the total number of trials.
This reason is true. The probability of an event E happening is determined by the ratio of the number of successful outcomes (trials in which event E has happened) to the total number of possible outcomes (total number of trials).
Explanation:
The assertion assumes that the probability of selecting a girl is y/x, where x is the number of boys and y is the number of girls. However, this assumption is incorrect. The probability of selecting a girl should be y/(x+y), where (x+y) represents the total number of students in the class.
For example, if there are 20 boys and 30 girls in a class, the probability of selecting a girl at random would be 30/(20+30) = 30/50 = 0.6, or 60%.
Therefore, the assertion is false because it does not accurately represent the probability of selecting a girl in a class with x boys and y girls.
The reason, on the other hand, is true. The probability of an event E happening is determined by the ratio of the number of successful outcomes to the total number of possible outcomes. This is a fundamental concept in probability theory.
In conclusion, the correct answer is option 'D' because the assertion is false, and the reason is true, but it does not provide a correct explanation for the assertion. The probability of selecting a girl cannot be determined solely based on the number of boys and girls in the class.
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?.
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correctanswer asAssertion : In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.Reason : Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.a)Both assertion and reason are true and reason is the correct explanation of assertionb)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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