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### Math

## Common Core Math

# High School: Statistics & 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 distribution using the same graphical displays as for data distributions.

Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.

Find the expected payoff for a game of chance.

Evaluate and compare strategies on the basis of expected values.

Use probabilities to make fair decisions.

Analyze decisions and strategies using probability concepts.