Questions: You are dealt one card from a standard 52-card deck. Find the probability of being dealt an eight. The probability of being dealt an eight is . (Type an integer or a simplified fraction.)

You are dealt one card from a standard 52-card deck. Find the probability of being dealt an eight.

The probability of being dealt an eight is . 
(Type an integer or a simplified fraction.)
Transcript text: You are dealt one card from a standard 52-card deck. Find the probability of being dealt an eight. The probability of being dealt an eight is $\square$ . (Type an integer or a simplified fraction.)
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Solution

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Solution Steps

Step 1: Determine Total Cards and Eights

In a standard deck of cards, there are a total of \( 52 \) cards. Among these, there are \( 4 \) eights, one for each suit (hearts, diamonds, clubs, spades).

Step 2: Calculate Probability

The probability \( P \) of being dealt an eight can be calculated using the formula:

\[ P(\text{eight}) = \frac{\text{Number of eights}}{\text{Total number of cards}} = \frac{4}{52} \]

Step 3: Simplify the Fraction

To simplify the fraction \( \frac{4}{52} \):

\[ \frac{4}{52} = \frac{1}{13} \]

Final Answer

The probability of being dealt an eight is

\[ \boxed{\frac{1}{13}} \]

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