Question

The probability of getting a king when a card is selected at random from a standard deck of 52 playing cards is $\frac{1}{13}$. a. Give a relative frequency interpretation of this probability. b. Express the probability as a decimal rounded to three decimal places. Then complete the following statement: If a card is selected at random, I would expect to see a king about times in 1000 .

Name: Problem 8, Chapter 5: Statistics Learning From Data
Uploaded: 2023-11-14T17:49:35-08:00
Channel: Rashmi Sinha
Description: The probability of getting a king when a card is selected at random from a standard deck of 52 playing cards is (1)/(13). a. Give a relative frequency interpretation of this probability. b. Express the probability as a decimal rounded to three decimal places. Then complete the following statement: If a card is selected at random, I would expect to see a king about times in 1000 .

   The probability of getting a king when a card is selected at random from a standard deck of 52 playing cards is $\frac{1}{13}$.
a. Give a relative frequency interpretation of this probability.
b. Express the probability as a decimal rounded to three decimal places. Then complete the following statement:
If a card is selected at random, I would expect to see a king about times in 1000 .

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 5, Problem 8

Instant Answer

Solved by Expert Rashmi Sinha

11/14/2023

Step 1

A relative frequency interpretation of this probability means that if we were to draw a large number of cards from a standard deck (with replacement), we would expect about 1/13 of those cards to be kings. In other words, the proportion of kings in the deck is Show more…

Show all steps

Thanks for your feedback!

The probability of getting a king when a card is selected at random from a standard deck of 52 playing cards is $\frac{1}{13}$. a. Give a relative frequency interpretation of this probability. b. Express the probability as a decimal rounded to three decimal places. Then complete the following statement: If a card is selected at random, I would expect to see a king about times in 1000 .

Play audio

Feedback

Rashmi Sinha and 93 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Expected Frequency

Expected frequency refers to the number of times an event is predicted to occur over a given number of trials, calculated by multiplying the probability of the event by the total number of trials. This concept is useful for understanding and predicting outcomes over large sample sizes.

Relative Frequency Interpretation

This concept represents probability as the limit of the proportion of times an event occurs over a large number of trials. In repeated random experiments, if you select a card from a standard deck many times, you would expect the proportion of times you draw a king to approach the theoretical probability value.

Conversion Between Fraction and Decimal

This involves transforming a probability given as a fraction into its decimal form, which can make it easier to interpret or use in further calculations. This conversion often requires division and rounding to a specified precision, such as three decimal places.

Please give Ace some feedback