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A Card is Drawn at Random from a Pack of 52 Cards. Find the Probability that the Card Drawn Is:(X) a Black Card - Mathematics

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Question

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a black card

Solution

Let S denote the sample space.
Then, n(S) = 52

 Let E10 = event of drawing a black card
      We know that there are 26 black cards, i.e. 13 spades and 13 clubs.
   Then n (E10) = 26

\[\therefore P\left( E_{10} \right) = \frac{n\left( E_{10} \right)}{n\left( S \right)} = \frac{26}{52} = \frac{1}{2}\]

 

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Chapter 33: Probability - Exercise 33.3 [Page 46]

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RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 10.1 | Page 46

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