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