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
$(iii)$ a red face card
$(iv)$ the jack of hearts
$(v)$ a spade
$(vi)$ the queen of diamonds

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(A-D) Total number of cards in a well-shuffled deck $= 52$.
$(i)$ Total number of kings of red colour $= 2$ (King of Hearts and King of Diamonds).
$P(\text{king of red colour}) = \frac{2}{52} = \frac{1}{26}$.
$(ii)$ Total number of face cards (Kings,Queens,and Jacks) $= 3 \times 4 = 12$.
$P(\text{face card}) = \frac{12}{52} = \frac{3}{13}$.
$(iii)$ Total number of red face cards (Hearts and Diamonds) $= 3 + 3 = 6$.
$P(\text{red face card}) = \frac{6}{52} = \frac{3}{26}$.
$(iv)$ Total number of Jack of hearts $= 1$.
$P(\text{Jack of hearts}) = \frac{1}{52}$.
$(v)$ Total number of spade cards $= 13$.
$P(\text{spade}) = \frac{13}{52} = \frac{1}{4}$.
$(vi)$ Total number of queen of diamonds $= 1$.
$P(\text{queen of diamonds}) = \frac{1}{52}$.

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