Question

An experiment is picking a card from a fair deck. a) What is the probability of picking a King? Round answer to 3 decimal places. \( \square \)

Ask by Ryan Lynch. in the United States
Mar 10,2025

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Answer

The probability of picking a King is approximately 0.077.

Solution

1. A standard deck has \(52\) cards and there are \(4\) Kings. 2. The probability \(P\) of drawing a King is given by \[ P = \frac{4}{52}. \] 3. Simplifying the fraction, we get \[ P = \frac{1}{13} \approx 0.07692. \] 4. Rounding to three decimal places, the probability is \[ P \approx 0.077. \]

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Bonus Knowledge

In a standard 52-card deck, there are 4 Kings (one from each suit: hearts, diamonds, clubs, and spades). The probability of picking a King is calculated by taking the number of favorable outcomes (Kings) divided by the total number of outcomes (total cards). Therefore, the probability is: \[ \frac{4}{52} = \frac{1}{13} \approx 0.077 \] So, the probability of picking a King, rounded to three decimal places, is \(0.077\). For a little fun, did you know that in a regular deck of cards, each suit corresponds to the four classical elements (Hearts – water, Diamonds – earth, Clubs – fire, Spades – air)? This makes card games not only a test of chance but also a playful nod to ancient symbolism! Additionally, if you're ever in a situation where you can't get a King, instead of feeling down, just remember that each card drawn helps hone your skills for future games! You might open a door to an unexpected winning strategy by understanding card probabilities better. Keep practicing!

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