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# A Card is Drawn at Random from a Pack of 52 Cards. Find the Probability that the Card Drawn Is:(Iv) a Jack, Queen Or a King - Mathematics

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a jack, queen or a king

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#### Solution

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

Let E4 = event of drawing a jack, a queen or a king
Out of 52 cards, there are four jacks, four queens and four kings.
i.e. (E4) = 4C1 + 4C1 + 4C1
= 4 + 4 + 4 = 12

$\therefore P\left( E_4 \right) = \frac{n\left( E_4 \right)}{n\left( S \right)} = \frac{12}{52} = \frac{3}{13}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 10.04 | Page 46
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