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Two cards are drawn from a pack of 52 cards. Find the probability that both are ace cards. - Mathematics and Statistics

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प्रश्न

Two cards are drawn from a pack of 52 cards. Find the probability that both are ace cards.

बेरीज
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उत्तर

Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let C be the event that both the cards drawn are aces.
In a pack of 52 cards, there are 4 ace cards.
∴ 2 ace cards can be drawn from 4 ace cards in 4C2 ways
∴ n(C) = 4C2

∴ P(C) = `("n"("C"))/("n"("S"))`

= `(""^4"C"_2)/(""^52"C"_2)`

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Elementary Properties of Probability
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पाठ 7: Probability - Exercise 7.2 [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 7 Probability
Exercise 7.2 | Q 2. (c) | पृष्ठ १०२

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