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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 : A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.
Reason : Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).
  • 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 'A'. Can you explain this answer?
Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
Possible outcomes when a die is thrown = {1, 2, 3, 4, 5, 6}
P (getting an odd number) = 3/6 = 1/2
P (getting an even number) = 3/6 = 1/2
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Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion: A fair die is rolled. Then the probability of getting an even number is 1/2 and the probability of getting an odd number is 1/2.
Reason: Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).

To understand why the correct answer is option 'A', let's break down the assertion and reason separately:

Assertion: A fair die is rolled. Then the probability of getting an even number is 1/2 and the probability of getting an odd number is 1/2.

This assertion is correct because when a fair die is rolled, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6. Out of these six possible outcomes, three are even numbers (2, 4, and 6) and three are odd numbers (1, 3, and 5). Thus, the probability of getting an even number is 3/6, which simplifies to 1/2, and the probability of getting an odd number is also 3/6, which simplifies to 1/2. Therefore, the assertion is true.

Reason: Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).

This reason is also correct because when a fair die is rolled, the possible outcomes are indeed the numbers 1, 2, 3, 4, 5, and 6. These are the only possible outcomes when rolling a fair die, and there are no additional numbers or possibilities. Therefore, the reason is true.

Explanation:

The assertion and reason are both true, and the reason is the correct explanation of the assertion. When a fair die is rolled, there are six equally likely outcomes, which are the numbers 1, 2, 3, 4, 5, and 6. Since there are three even numbers and three odd numbers among these outcomes, the probability of getting an even number is 1/2 and the probability of getting an odd number is also 1/2. The reason correctly states that the possible outcomes when a fair die is rolled are (1, 2, 3, 4, 5, 6), which supports the assertion.

Therefore, the correct answer is option 'A' - Both the assertion and reason are true, and the reason is the correct explanation of the assertion.
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Direction: In the following questions, a statement of Assertion is gi...
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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 : A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.Reason : Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).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 'A'. 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 : A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.Reason : Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).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 'A'. 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 : A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.Reason : Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).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 'A'. 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 : A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.Reason : Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).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 'A'. Can you explain this answer?.
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