Deck of playing cards
A standard deck of cards has four suites: clubs (♣), diamonds (♦), hearts (♥), spades (♠).
Each suite has thirteen cards: Ace,2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king.
Thus the entire deck has 52 cards total.
Basic facts needed is to compute probabilities concerning cards.
| Deck Of Playing Cards (52) | |||
| Red Cards (26) | Black Cards (26) | ||
Diamonds (♦) | Hearts (♥) | clubs (♣) | spades (♠) |
King Queen Jack 10 9 8 7 6 5 4 3 2 Ace | King Queen Jack 10 9 8 7 6 5 4 3 2 Ace | King Queen Jack 10 9 8 7 6 5 4 3 2 Ace | King Queen Jack 10 9 8 7 6 5 4 3 2 Ace |
Face cards:
- As we know that there are = 52 cards in a deck of cards.
- The cards which have pictures on it are called Face cards.
- There are 12 face cards in all.
| Face Cards (12) | |||
| Red Face Cards (6) | Black Face Cards (6) | ||
Diamonds (♦) | Hearts (♥) | clubs (♣) | spades (♠) |
King Queen Jack | King Queen Jack | King Queen Jack | King Queen Jack |
Problem Based on Deck of cards:
One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will
(i) be an ace,
(ii) not be an ace.
Solution :
Well-shuffling ensures equally likely outcomes.
(i) There are 4 aces in a deck. Let E be the event ‘the card is an ace’.
The number of outcomes favorable to \(E = 4\)
The number of possible outcomes \(=52\)
Therefore, \(P(E) =\dfrac{4 }{52}=\dfrac{1}{13}\)
(ii) Let F be the event ‘card drawn is not an ace’.
The number of outcomes favorable to the event \(F = 52 – 4 = 48\)
The number of possible outcomes \(= 52\)
Therefore, \(P(E) = \dfrac{48}{ 52} = \dfrac{12}{13}\)
Answer the below Question:
One card is drawn from a well-shuffled deck of \(52\) cards. Find the probability of getting
(i) a king of red color
(ii) a face card
(iii) a red face card
(iv) the jack of hearts
(v) a spade
(vi) the queen of diamonds
0 Comments