One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting:
(i) a king of red colour
(ii) a face card.
Step-by-Step Solution
Key Concept: Total outcomes $= 52$. Red kings $= 2$ (hearts, diamonds). Face cards $= 12$ (4 Jacks, 4 Queens, 4 Kings).
(i) Favourable outcomes (king of red colour) $= 2$.
$P(\text{red king}) = \dfrac{2}{52} = \dfrac{1}{26}$. [1.0 Mark]
(ii) Favourable outcomes (face cards) $= 12$.
$P(\text{face card}) = \dfrac{12}{52} = \dfrac{3}{13}$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Part (i) $P(\text{red king}) = 1/26$: 1.0 Mark
Part (ii) $P(\text{face card}) = 3/13$: 1.0 Mark
Correct Answer: