A card is drawn from the set of 52 cards. Find the probability of gett...
Understanding the Total Cards
In a standard deck of cards, there are a total of 52 cards. These cards are divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, which include numbers from 2 to 10, a jack, a queen, a king, and an ace.
Identifying the Queen Cards
Among the 52 cards, there are exactly four queen cards:
- Queen of Hearts
- Queen of Diamonds
- Queen of Clubs
- Queen of Spades
This means there is one queen in each suit.
Calculating the Probability
To find the probability of drawing a queen card, we use the basic probability formula:
- Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case:
- Number of favorable outcomes = 4 (the four queens)
- Total number of possible outcomes = 52 (the total cards)
Now, substituting the values into the formula:
- Probability = 4 / 52
This can be simplified:
- Probability = 1 / 13
Conclusion
The probability of drawing a queen card from a standard deck of 52 cards is 1/13. This means that for every 13 cards drawn, on average, you can expect to draw one queen.
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