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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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.
Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.
  • 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 'A'. Can you explain this answer?
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Direction: In the Following Questions, A Statement of Assertion (A) I...
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion and reason are correct. Also, reason is the correct explanation of the assertion.
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Most Upvoted Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion and Reasoning Explanation:

Assertion:
- The assertion states that if A and B are two independent events with given probabilities, then the probability of their intersection (A ∩ B) is 6/25.

Reason:
- The reason provided is that for independent events A and B, the probability of their intersection (A ∩ B) is equal to the product of their individual probabilities, which is given by P(A) • P(B).

Explanation:
- The assertion is true because for independent events, the probability of their intersection is indeed calculated by multiplying the probabilities of the individual events.
- In this case, P(A) = 2/5 and P(B) = 3/5, so P(A ∩ B) = (2/5) • (3/5) = 6/25.
- Therefore, both the assertion and the reason are true, and the reason correctly explains why the probability of the intersection of two independent events is calculated as the product of their individual probabilities.
Therefore, the correct choice is:

Option A: Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
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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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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 (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. 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: If A and B are two independent events and it is given that P (A) = 2/5, P(B) = 3/5, then P (A ∩ B) = 6/25.Reason : P (A ∩ B) = P (A) • P(B), where A and B are two independent events.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 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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