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Question
A card is drawn at random from a pack of well shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is:
Event A: The card drawn is an ace.
Event B: The card drawn is a spade.
Activity: 'S' is the sample space.
∴ n(S) = 52
Event A: The card drawn is an ace.
∴ n(A) = `square`
P(A) = `square` ......(formula)
∴ P(A) = `square/52`
∴ P(A) = `square/13`
Event B: The card drawn is a spade.
∴ n(B) = `square`
P(B) = `(n(B))/(n(S))`
∴ P(B) = `square/4`
Solution
'S' is the sample space.
∴ n(S) = 52
Event A: The card drawn is an ace.
∴ n(A) = 4
P(A) = `bb((n(A))/(n(S)))` ......(formula)
∴ P(A) = `bb4/52`
∴ P(A) = `bb1/13`
Event B: The card drawn is a spade.
∴ n(B) = 13
P(B) = `(n(B))/(n(S))`
∴ P(B) = `13/52`
∴ P(B) = `bb1/4`
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