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A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is a red card. - Mathematics

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प्रश्न

A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is a red card.

बेरीज

उत्तर

Number of possible outcomes when card is drawn from pack of 52 cards = 52 

n(S) = 52 

Number of red cards (hearts + diamonds) = 26

E = event of drawing a red card 

n(E) = 26 

Probability of drawing a red card = `(n(E))/(n(S)) = 26/52 = 1/2`

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पाठ 25: Probability - Exercise 25 (B) [पृष्ठ ३९३]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 25 Probability
Exercise 25 (B) | Q 9.2 | पृष्ठ ३९३

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Solution:

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = `square` hearts + 13 diamonds

∴ n(A) = `square`

∴ p(A) = `square/("n"("s"))`   ....formula

∴ p(A) = `26/52`

∴ p(A) = `square`


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