Search the California Content Standards

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer. *

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

Standard:
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. *

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

Standard:
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. *

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

Standard:
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. *

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

Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *

Cluster:
Calculate expected values and use them to solve problems.

Standard:
(+) 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 distribution using the same graphical displays as for data distributions. *

Cluster:
Calculate expected values and use them to solve problems.

Standard:
(+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. *

Cluster:
Calculate expected values and use them to solve problems.

Standard:
(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.*

Cluster:
Calculate expected values and use them to solve problems.

Standard:
(+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households? *

Cluster:
Use probability to evaluate outcomes of decisions.

Standard:
(+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. * 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. *