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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 die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6
Reason : Probability of impossible event is 0.
  • 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?
Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
When a die is thrown, then number of outcomes are 1, 2, 3, 4, 5, 6
P(number appear on the upper face is less than 1) = 0
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Direction: In the following questions, a statement of Assertion is gi...
Assertion: A die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6

Reason: Probability of an impossible event is 0.

Explanation:

The assertion states that when a die is thrown, the event E is defined as the number appearing on the upper face being less than 1. In other words, the event E occurs if the outcome is 0.

The reason provided states that the probability of an impossible event is 0. This means that if an event is impossible, it cannot occur, and therefore its probability is 0.

Let's analyze the assertion and reason separately to determine if they are true and if the reason is a correct explanation of the assertion.

Assertion is true:
When a die is thrown, the possible outcomes are numbers 1 to 6, as there are six faces on a die. The number 0 is not a possible outcome, so the event E, where the number appearing on the upper face is less than 1, is impossible. Therefore, the assertion is true.

Reason is true:
The reason states that the probability of an impossible event is 0. This is a mathematical fact. An event that cannot occur has a probability of 0. Therefore, the reason is true.

Reason is not the correct explanation of the assertion:
Although the reason is true, it does not provide a direct explanation for the assertion. The reason is a general statement about the probability of impossible events, while the assertion is specific to the event E, where the number appearing on the upper face is less than 1. The reason does not directly explain why the probability of event E is 1/6.

Conclusion:
Based on the analysis, we can conclude that both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the correct answer is option D.
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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 die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6Reason : Probability of impossible event is 0.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 : A die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6Reason : Probability of impossible event is 0.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 : A die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6Reason : Probability of impossible event is 0.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 : A die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6Reason : Probability of impossible event is 0.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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