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In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given: Assertion: A card is selected at random from a pack of 52 cards. - Mathematics

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Question

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

Assertion: A card is selected at random from a pack of 52 cards. The probability of getting a club is `1/4`.

Reason: There are 4 cards of club in a pack of 52 cards.

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

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

Explanation:

The assertion is true there are 13 clubs in a 52-card deck, so P(club) = `13/52 = 1/4`. 

The reason is false because it incorrectly states there are 4 clubs there are 13.

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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 3. | Page 509
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