Answer :
Certainly! Let's solve this step-by-step.
1. Identify the Total Number of Cards in the Deck:
A standard deck of cards has a total of 52 cards.
2. Identify the Number of Hearts:
Each suit in a standard deck has 13 cards. Since hearts are one of the four suits (hearts, diamonds, clubs, spades), there are 13 hearts in the deck.
3. Calculate the Probability:
The probability [tex]\( P \)[/tex] of drawing a heart is the ratio of the number of hearts to the total number of cards in the deck. This is given by:
[tex]\[ P = \frac{\text{Number of Hearts}}{\text{Total Number of Cards}} \][/tex]
Substituting the known values:
[tex]\[ P = \frac{13}{52} \][/tex]
4. Simplify the Fraction:
[tex]\[ \frac{13}{52} = \frac{1}{4} \][/tex]
Thus, the probability of drawing a heart from a standard deck of cards is [tex]\( \frac{1}{4} \)[/tex].
So, the correct answer is:
b) [tex]\( \frac{1}{4} \)[/tex]
1. Identify the Total Number of Cards in the Deck:
A standard deck of cards has a total of 52 cards.
2. Identify the Number of Hearts:
Each suit in a standard deck has 13 cards. Since hearts are one of the four suits (hearts, diamonds, clubs, spades), there are 13 hearts in the deck.
3. Calculate the Probability:
The probability [tex]\( P \)[/tex] of drawing a heart is the ratio of the number of hearts to the total number of cards in the deck. This is given by:
[tex]\[ P = \frac{\text{Number of Hearts}}{\text{Total Number of Cards}} \][/tex]
Substituting the known values:
[tex]\[ P = \frac{13}{52} \][/tex]
4. Simplify the Fraction:
[tex]\[ \frac{13}{52} = \frac{1}{4} \][/tex]
Thus, the probability of drawing a heart from a standard deck of cards is [tex]\( \frac{1}{4} \)[/tex].
So, the correct answer is:
b) [tex]\( \frac{1}{4} \)[/tex]
