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A card is drawn from a well shuffled pack of 52 playing cards. Find the probability of i) Event A: Card drawn is a red card. - Algebra

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Sum

A card is drawn from a well shuffled pack of 52 playing cards. Find the probability of i) Event A: Card drawn is a red card.

Activity: Let ‘S’ be the sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = ( ) hearts + 13 diamonds

∴ n(A) = ( )

∴ P(A) = `square/("n"("S"))`    ......[Formula]

P(A) = `26/52`

P(A) = `square`

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Solution

Let ‘S’ be the sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = 13 hearts + 13 diamonds

∴ n(A) = 26

∴ P(A) = `("n"("A"))/("n"("S"))`    ......[Formula]

P(A) = `26/52`

P(A) = `1/2`

Concept: Probability of an Event
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