Question

Statistics

Posted 4 months ago

`What is the probability of drawing a heart from a standard deck of cards?`

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Answer from Sia

Posted 4 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. $P(\text{heart}) = \frac{\text{number of hearts}}{\text{total number of cards}}$

step 4

Substitute the values into the probability formula: $P(\text{heart}) = \frac{13}{52}$

step 5

Simplify the fraction to get the final probability: $P(\text{heart}) = \frac{1}{4}$

Answer

The probability of drawing a heart from a standard deck of cards is $\frac{1}{4}$ 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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