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

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प्रश्न

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

उत्तर

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

 Let E8 = event of drawing a diamond card.
         There are 13 diamond cards in a pack of 52 cards, out of which one diamond can be drawn in 13C1 .
         ∴ n (E8) = 13

\[P\left( E_8 \right) = \frac{n\left( E_8 \right)}{n\left( S \right)} = \frac{13}{52} = \frac{1}{4}\]

 

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पाठ 33: Probability - Exercise 33.3 [पृष्ठ ४६]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 33 Probability
Exercise 33.3 | Q 10.08 | पृष्ठ ४६

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