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Question
Statistics
Posted 7 months ago
What is the probability of drawing a heart from a standard deck of cards?
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Answer from Sia
Posted 7 months ago
Solution by Steps
step 1
Identify the total number of cards in a standard deck: A standard deck of cards has 52 cards
step 2
Determine the number of hearts in a standard deck: There are 4 suits in a deck of cards, and each suit has 13 cards. Therefore, there are 13 hearts in a deck
step 3
Calculate the probability: The probability of drawing a heart from a standard deck of cards is the number of hearts divided by the total number of cards. P(heart)=number of heartstotal number of cards P(\text{heart}) = \frac{\text{number of hearts}}{\text{total number of cards}}
step 4
Substitute the values into the probability formula: P(heart)=1352 P(\text{heart}) = \frac{13}{52}
step 5
Simplify the fraction to get the final probability: P(heart)=14 P(\text{heart}) = \frac{1}{4}
Answer
The probability of drawing a heart from a standard deck of cards is 14 \frac{1}{4} or 0.25.
Key Concept
Probability of an event
Explanation
The probability of drawing a heart from a standard deck of cards is calculated by dividing the number of heart cards by the total number of cards in the deck.

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