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A card is drawn from a well shuffled pack of 52 playing cards. Complete the following activity to find the probability of the following events :(a) A red card(b) A face card.Activity :Let ‘S’ is the sample space\(\therefore\ n(S) =\) ____Event A : Ca…

Q.3 (A)(ii) A card is drawn from a well shuffled pack of 52 playing cards. Complete the following activity to find the probability of the following events :

(a) A red card

(b) A face card.

Activity :

Let ‘S’ is the sample space

\(\therefore\ n(S) =\) ____

Event A : Card drawn is a red card.

Total red cards = ____

\(\therefore\ n(A) =\) ____

\(\therefore\ P(A) = \dfrac{n(A)}{n(S)}\) ................. Formula

\(\therefore\ P(A) = \dfrac{26}{52}\)

\(\therefore\ P(A) =\) ____

Event B : Card drawn is a face card.

Total face cards = 12

\(\therefore\ n(B) =\) ____

\(\therefore\ P(B) = \dfrac{n(B)}{n(S)}\) ................. Formula

\(\therefore\ P(B) = \dfrac{12}{52}\)

\(\therefore\ P(B) =\) ____

1 answer

Best answer

Answer: \(n(S) = 52\); \(n(A) = 26\), \(P(A) = \dfrac{1}{2}\); \(n(B) = 12\), \(P(B) = \dfrac{3}{13}\).

A pack has 52 cards, so \(n(S) = 52\).

Event A: there are 26 red cards (13 hearts + 13 diamonds), so \(n(A) = 26\) and \(P(A) = \dfrac{26}{52} = \dfrac{1}{2}\).

Event B: there are 12 face cards (4 kings, 4 queens, 4 jacks), so \(n(B) = 12\) and \(P(B) = \dfrac{12}{52} = \dfrac{3}{13}\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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