Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# A Card is Drawn at Random from a Pack of 52 Cards. Find the Probability that the Card Drawn Is:(I) a Black King - Mathematics

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

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#### Solution

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

Let E1 = event of drawing a black king
We know that the number of black kings is two: one for spade and one for club.
i.e. n (E1) = 2

$\therefore P\left( E_1 \right) = \frac{n\left( E_1 \right)}{n\left( S \right)} = \frac{2}{52} = \frac{1}{26}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 10.01 | Page 46
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