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

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

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Solution

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

Let E3 = event of drawing black and a king
       There are two cards: a black card and a king, i.e. a black king.
      i.e. (E3) = 2C1 = 2

\[\therefore P\left( E_3 \right) = \frac{n\left( E_3 \right)}{n\left( S \right)} = \frac{2}{52} = \frac{1}{26}\]

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 10.03 | Page 46
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