Deck of Cards and Probability

Probability related to playing cards: Now, let us take an example related to playing cards. Have you seen a deck of playing cards? It consists of 52 cards which are divided into 4 suits of 13 cards each— spades (♠), hearts (♥), diamonds (♦) and clubs (♣). Clubs and spades are of black colour, while hearts and diamonds are of red colour_.

The cards in each suit are ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2.

Kings, queens and jacks are called face cards.

Example 4

4. 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.

Remark : Note that F is nothing but E‾. Therefore, we can also calculate P(F) as follows: P(F) = P(E‾) = 1 – P(E) = 1 - 113 =

Example 5