A card is selected from a deck of $52$ cards. The probability of its being a red face card is:
$\dfrac{3}{26}$
$\dfrac{3}{13}$
$\dfrac{2}{13}$
$\dfrac{1}{2}$
Step-by-Step Solution
Key Concept: Red face cards: 3 of hearts (J, Q, K) + 3 of diamonds (J, Q, K) $= 6$. Total cards $= 52$.
Stepwise Solution:
Favourable outcomes $= 6$. Total outcomes $= 52$. [0.5 Mark]
Probability $= \dfrac{6}{52} = \dfrac{3}{26}$. [0.5 Mark]
Marking Scheme:
• Finding 6 red face cards: 0.5 Mark
• Calculating probability $= 3/26$: 0.5 Mark
Correct Answer: $\dfrac{3}{26}$