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Answer: (a) \(\dfrac{4}{13}\) (b) \(\dfrac{6}{13}\)

n(S) = 52

(a) There are 13 hearts and 4 kings, but the king of hearts is in both groups, so count it once: n(A) = 13 + 4 − 1 = 16.

\(P(A) = \dfrac{16}{52} = \dfrac{4}{13}\)

(b) Not red means black: 26 cards. Remove the 2 black kings: n(B) = 26 − 2 = 24.

\(P(B) = \dfrac{24}{52} = \dfrac{6}{13}\)

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report
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