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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:
Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.
Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) 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 (A) I...
Assertion (A) is true but reason (R) is false.
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1. A and B solve the problem and C does not solve the problem
2. B and C solve the problem and A does not solve the problem and
3. C and A solve the problem and B does not solve the problem. The required probability
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3, and 1/4 respectively.
Reason: If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.
To understand why the correct answer is option 'C', let's analyze both the assertion and the reason separately.
Assertion (A): The probabilities that A, B, C can solve a problem independently are 1/3, 1/3, and 1/4 respectively.
This means that the probability of event A occurring is 1/3, the probability of event B occurring is 1/3, and the probability of event C occurring is 1/4. These probabilities represent the independent abilities of A, B, and C to solve the problem.
Reason (R): If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.
Mutually exclusive events are events that cannot occur at the same time. In this case, if A and B are mutually exclusive events, it means that if A occurs, B cannot occur, and vice versa.
The reason states that the probability of both A and B occurring, P(A ∩ B), should not be equal to 0. This means that there should be some probability that A and B occur simultaneously, even if they are mutually exclusive events.
Now, let's analyze the correctness of the reason in relation to the assertion.
The reason is incorrect because it assumes that A and B are mutually exclusive events, which is not mentioned in the assertion. The assertion only provides the independent probabilities of A, B, and C solving the problem, but it does not state anything about the relationship between A and B.
Therefore, option 'C' is the correct answer because the assertion is true (as given in the question), but the reason is false (as it assumes a condition not mentioned in the assertion).
Reason: If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.
To understand why the correct answer is option 'C', let's analyze both the assertion and the reason separately.
Assertion (A): The probabilities that A, B, C can solve a problem independently are 1/3, 1/3, and 1/4 respectively.
This means that the probability of event A occurring is 1/3, the probability of event B occurring is 1/3, and the probability of event C occurring is 1/4. These probabilities represent the independent abilities of A, B, and C to solve the problem.
Reason (R): If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.
Mutually exclusive events are events that cannot occur at the same time. In this case, if A and B are mutually exclusive events, it means that if A occurs, B cannot occur, and vice versa.
The reason states that the probability of both A and B occurring, P(A ∩ B), should not be equal to 0. This means that there should be some probability that A and B occur simultaneously, even if they are mutually exclusive events.
Now, let's analyze the correctness of the reason in relation to the assertion.
The reason is incorrect because it assumes that A and B are mutually exclusive events, which is not mentioned in the assertion. The assertion only provides the independent probabilities of A, B, and C solving the problem, but it does not state anything about the relationship between A and B.
Therefore, option 'C' is the correct answer because the assertion is true (as given in the question), but the reason is false (as it assumes a condition not mentioned in the assertion).
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer?.
Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 10.
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) 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 (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: The probabilities that A, B, C can solve a problem independently are 1/3, 1/3 and 1/4 respectively. The probability that only two of them are able to solve the problem is 7/36.Reason : If A and B are mutually exclusive events, then P(A ∩ B) ≠ 0.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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