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In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given: Assertion: The probability of getting head in one toss of a coin is 1/2. - Mathematics

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Question

In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:

Assertion: The probability of getting head in one toss of a coin is `1/2`.

Reason: The sample space in one toss of a coin is {H, T}.

Options

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

  • Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

  • Assertion (A) is true but Reason (R) is false.

  • Assertion (A) is false but Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Explanation:

The sample space for one coin toss is {H, T}, which has two equally likely outcomes; the favourable outcome for “head” is 1, so P(head) = `1/2` thus R explains A.

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Chapter 22: Probability - Exercise 22C [Page 509]

APPEARS IN

Nootan Mathematics [English] Class 10 ICSE
Chapter 22 Probability
Exercise 22C | Q 2. | Page 509
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