- standard
Use probability to evaluate outcomes of decisions
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.*
- standard
Use probability to evaluate outcomes of decisions
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.*
- standard
Calculate expected values and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected valu…
- standard
Calculate expected values and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected…
- standard
Calculate expected values and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Calculate expected values and use them to solve problems. Calculate the expected value of a random variable; interpret it as the mean of the probability di…
- standard
Calculate expected values and use them to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Using Probability to Make Decisions
(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability dis…
- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
(+) Use the rules of probability to compute probabilities of compound events in a uniform probability model. Use permutations and combinations to compute proba…
- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = x =x, and interpret the answer in terms of the model.*
- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.*
- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.*
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sampl…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A g…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this charact…