An ordinary deck of playing cards has 52 cards. There are four suitsspades, hearts, diamonds, and clubswith 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that is chosen. Find the probability that is chosen, and express your answer in probability notation.

Complete question is;

An ordinary deck of playing cards has 52 cards. There are four suits

-spades, hearts, diamonds, and clubs

-with 13 cards in each suit.

Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen.

Find the probability that a red card is chosen, and express your answer in probability notation.

P(A) = 0.5

Step-by-step explanation:

We are told that the ordinary deck of playing cards has 52 cards.

Now, there are four suits

-spades, hearts, diamonds, and clubs

-with 13 cards in each suit.

Now, in a standard set of playing cards, there are 13 black spades and 13 black clubs as well as 13 red hearts and 13 red diamonds

Thus;

Number of red cards = 13 + 13

Thus;

Number of red cards = 26

Since, A denotes the event that red card is chosen.

This means that probability of choosing a red card is;

P(A) = number of red cards/total number in a deck of cards

P(A) = 26/52

P(A) = 0.5