options: Investigate patterns of association in bivariate data.

Use probability to evaluate outcomes of decisions.

Summarize and describe distributions.

Calculate expected values and use them to solve problems.

Interpret linear models.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Use random sampling to draw inferences about a population.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Draw informal comparative inferences about two populations.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Summarize, represent, and interpret data on a single count or measurement variable.

Develop understanding of statistical variability.

Investigate chance processes and develop, use, and evaluate probability models.

Understand and evaluate random processes underlying statistical experiments.

Understand independence and conditional probability and use them to interpret data.
problem_activity: Problem 1
A fair six-sided die is rolled twice. What is the theoretical probability that the first number that comes up is greater than or equal to the second number?
Problem 2
Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the theoretical probability that Angie and Carlos are seated opposite each other?
Problem 3
A standard deck of playing cards includes 52 cards, equally divided among 4 suits: hearts, diamonds, clubs, and spades.
You have two standard decks of cards. You draw a card from the first deck, record the suit, and then draw a card from the second deck and record the suit.
a.   What is the probability that you draw a heart and a diamond, in that order?
b.   What is the probability that you draw a heart and a diamond, in any order?


correct_option_index: 12