Maharashtra State BoardHSC Commerce 11th
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Two cards are drawn from a pack of 52 cards. Find the probability that both are from same denomination. - Mathematics and Statistics

Sum

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

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Solution

Two cards can be drawn from a pack of 52 cards in 52C2 ways.
∴ n(S) = 52C2
Let G be the event that both the cards drawn are of same denominations.
A pack of cards has 13 denominations and 4 different cards for each denomination
∴ n(G) =  13 × 4C2

∴ P(G) = `("n"("G"))/("n"("S")`

= `(13 xx ""^4"C"_2)/(""^52"C"_2)`

Concept: Elementary Properties of Probability
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