Question

One card is drawn from a well-shuffled pack of 52 cards, find the probability of getting:
(i) A king of red colour
(ii) A face card

Hint:

In a standard deck of cards, always remember: there are 52 cards, 4 suits, 13 cards in each suit, and 12 face cards in total.

Answer 1

Step 1: Total number of outcomes
A standard deck has $52$ cards. Hence, total outcomes $= 52$.
(i) King of red colour
There are $2$ red kings in the deck (hearts and diamonds).
Favourable outcomes $= 2$.
Probability $= \dfrac{2}{52} = \dfrac{1}{26}$.
(ii) A face card
Face cards are Jack, Queen, King of each suit.
Total face cards $= 3 \times 4 = 12$.
Favourable outcomes $= 12$.
Probability $= \dfrac{12}{52} = \dfrac{3}{13}$.
\[ \boxed{(i) \ \dfrac{1}{26}, (ii) \ \dfrac{3}{13}} \]