Probability Examples on Cards

In this class, We discuss Probability Examples on Cards.

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The reader should have prior knowledge of coin and dice examples. Click Here.

First, we understand playing cards.

In this class, we do easy problems by playing cards.

In the playing cards, we have four different symbols.

1) Hearts

2) Spade

3) Clubs

4) Diamonds

The diamond and heart symbols are red.

The spade and club symbols are black.

In each symbol, we have 13 cards.

Random Experiment:

A card is drawn from a shuffled pack of playing cards.

1) probability of randomly selected card is ‘5’ of diamond.

Number of elements in sample space = 52 = N(S)

Event = E = ‘5’ of diamond

N(E) = 1

P(E) = N(E)/N(S) = 1/52

2) Probability that the randomly selected card is a queen.

N(S) = 52

Event = E = a queen card

N(E) = 4

P(E) = N(E)/N(S) = 4/52

3) Randomly selected card should be a spade card.

In total we have 13 spade cards.

N(E) = 13

N(S) = 52

P(E) = N(E)/N(S) = 13/52

4) Randomly selected cards should be king or queen.

N(E) = 8

In total, we have 4 kings and 4 queens.

N(S) = 52

P(E) = 8/52

5) Randomly selected card should be a red color card.

Diamonds and hearts are red in color

13 diamonds and 13 hearts are present in a deck of cards.

N(E) = 26

N(S) = 52

P(E) = N(E)/N(S) = 26/52