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.
Answer:
P(A) = 0.5
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