Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]
[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]
[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
[tex]P(\text{an ace of diamond})=\dfrac{\text{Number of ace of diamond}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of diamond})=\dfrac{1}{52}[/tex]
Therefore, the required probabilities for each parts are:
(a) [tex]\dfrac{1}{52}[/tex]
(b) [tex]\dfrac{1}{52}[/tex]
(c) [tex]\dfrac{1}{52}[/tex]
(d) [tex]\dfrac{1}{52}[/tex]
The probabilities for each of the given selections are;
A) 1/52
B) 1/52
C) 1/52
D) 1/52
A) Since total number of cards in the deck is 52 and there is only one king of heart, then;
Probability of selecting a king of heart = 1/52
B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;
Probability of selecting a queen of spade = 1/52
C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;
Probability of selecting an ace flower = 1/52
D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;
Probability of selecting am ace of diamond = 1/52
Read more about Probability at; https://brainly.com/question/25870256