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A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king. - Mathematics

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Question

A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king.

Sum
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Solution

Given: A well shuffled standard deck of 52 cards; one card is drawn at random.

Step-wise calculation:

1. Total number of equally likely outcomes = 52.

2. Number of favourable outcomes (king cards) = 4 (K♠, K♥, K♦, K♣).

3. Probability = `"Favourable"/"Total"`

= `4/52`

= `1/13`

= 0.076923

The probability of getting a king is `1/13`.

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Chapter 22: Probability - Exercise 22A [Page 506]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 22 Probability
Exercise 22A | Q 32. (i) | Page 506
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