Problem 18
Question
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond.
Step-by-Step Solution
Verified Answer
The probability of being dealt a diamond from a standard 52-card deck is \( \frac{1}{4} \)
1Step 1: Define the Total Number of Outcomes
In a standard 52-card deck, there are 52 possible outcomes. This is because you can potentially draw any of the 52 cards.
2Step 2: Compute the Number of Desired Outcomes
The desired outcome is drawing a diamond. There are 4 suits in a deck of cards and each suit has exactly 13 cards (ace through 10, and the face cards Jack, Queen, and King). Therefore, there are 13 diamonds in the deck.
3Step 3: Apply the Probability Formula
The probability of an event is calculated by dividing the number of desired outcomes by the total number of outcomes. Therefore, the probability of drawing a diamond is \( \frac{13}{52} = \frac{1}{4} \)
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