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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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1
Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1
- 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 'C'. Can you explain this answer?
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Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
Given = p(E1) + p(E2) = X
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p(E3) = 1/3
In an elementary event the sum of all the events is equal to 1
p(E1) + p(E2) + p(E3) = 1
X + 1/3 = 1
X = 1 - 1/3
X = 2/3
Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion: If E1, E2, .........., En are n elementary events associated with a random experiment, then P(E1) P(E2) PEn = 1.
Reason: For any event 'A' associated with an experiment, we have -1 ≤ P(A) ≤ 1.
Explanation:
The given assertion states that if we have n elementary events (E1, E2, ..., En) associated with a random experiment, then the product of their individual probabilities (P(E1) * P(E2) * ... * P(En)) is equal to 1.
On the other hand, the reason states that for any event 'A' associated with an experiment, the probability of that event lies between -1 and 1 (-1 ≤ P(A) ≤ 1).
Now let's analyze both the assertion and the reason:
Assertion: If E1, E2, .........., En are n elementary events associated with a random experiment, then P(E1) P(E2) PEn = 1.
This assertion is true because when we have n elementary events associated with a random experiment, the product of their individual probabilities should be equal to 1. This is based on the fundamental principle of probability, where the sum of probabilities of all possible outcomes of an experiment should be equal to 1. Each individual probability represents the likelihood of occurrence of a particular outcome, and when we take the product of these probabilities for all elementary events, it represents the overall probability of the entire sample space, which should be equal to 1.
Reason: For any event 'A' associated with an experiment, we have -1 ≤ P(A) ≤ 1.
This reason is not directly related to the assertion and does not provide a correct explanation for the assertion. The reason talks about the probability of any event 'A' associated with an experiment lying between -1 and 1, which is a general property of probabilities. However, it does not explain why the product of probabilities of elementary events should be equal to 1.
Therefore, the correct answer is option 'C': Assertion is true but the reason is false.
Reason: For any event 'A' associated with an experiment, we have -1 ≤ P(A) ≤ 1.
Explanation:
The given assertion states that if we have n elementary events (E1, E2, ..., En) associated with a random experiment, then the product of their individual probabilities (P(E1) * P(E2) * ... * P(En)) is equal to 1.
On the other hand, the reason states that for any event 'A' associated with an experiment, the probability of that event lies between -1 and 1 (-1 ≤ P(A) ≤ 1).
Now let's analyze both the assertion and the reason:
Assertion: If E1, E2, .........., En are n elementary events associated with a random experiment, then P(E1) P(E2) PEn = 1.
This assertion is true because when we have n elementary events associated with a random experiment, the product of their individual probabilities should be equal to 1. This is based on the fundamental principle of probability, where the sum of probabilities of all possible outcomes of an experiment should be equal to 1. Each individual probability represents the likelihood of occurrence of a particular outcome, and when we take the product of these probabilities for all elementary events, it represents the overall probability of the entire sample space, which should be equal to 1.
Reason: For any event 'A' associated with an experiment, we have -1 ≤ P(A) ≤ 1.
This reason is not directly related to the assertion and does not provide a correct explanation for the assertion. The reason talks about the probability of any event 'A' associated with an experiment lying between -1 and 1, which is a general property of probabilities. However, it does not explain why the product of probabilities of elementary events should be equal to 1.
Therefore, the correct answer is option 'C': Assertion is true but the reason is false.
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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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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Here you can find the meaning 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. 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 : If E1, E2 , .........., En are n elementary events associated to a random experiment, then P(E1) + P(E2) PE +.....+ P(En) = 1Reason : For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1a)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 'C'. Can you explain this answer? theory, EduRev gives you an
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