standard_description: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
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?


aligns: no