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Question
A card is drawn from a well shuffled pack of 52 playing cards. Find the probability of the event, the 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 = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ P(A) = `square/(n("S"))` ......[Formula]
P(A) = `26/52`
P(A) = `square`
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) = `bb(n(A))/(n(S))` ......[Formula]
P(A) = `26/52`
P(A) = `bb(1/2)`
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