Question

A card is drawn from a well shuffled pack of 52 cards. The probability of that card being a king is?

Answer 1

Hint: We can see how many king cards are present in the deck, it will become our favorable outcomes, then we can calculate its probability using the formula:
 $ P = \dfrac{f}{T} $ where,
P = Probability
f =Favorable outcomes
T = Total outcomes

Complete step-by-step answer:
King belongs to the category of face cards in the deck of cards.
We have 3 types of face cards namely king, queen and jack.
There are 12 face cards in total (each belonging to each suite), so the number of cards of each face cards present can be calculated by unitary method:
3 cards = 12
1 card = $ \dfrac{{12}}{3} $
           = 4
Thus, number of each face card = 4
Number of kings present in the deck = 4
Calculating the probability of choosing the king card:
 $ P = \dfrac{f}{T} $
Here,
Favorable outcomes (f) = number of king cards
                                          = 4
Total outcomes (T) = Total number of cards in a deck
                                  = 52
Substituting the values, we get:
 $
\Rightarrow P = \dfrac{4}{{52}} \\
\Rightarrow P = \dfrac{1}{{13}} \\
  $
Or P = 0.07
Therefore, the probability of that card being a king is $ \dfrac{1}{{13}} $ or 0.07

Note: We can write the value of probability in either decimal or fraction but it does not have any units, it is dimensionless.
Out of 52 cards, half are red and half are black, there are 4 suits in total and for each face card, 2 are red and 2 are black.