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# High School: Statistics & Probability: Using Probability to Make Decisions

### HSS.MD.A.1

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.

### HSS.MD.A.2

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

### HSS.MD.A.3

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

### HSS.MD.A.4

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

#### HSS.MD.B.5.a

Find the expected payoff for a game of chance.

#### HSS.MD.B.5.b

Evaluate and compare strategies on the basis of expected values.

### HSS.MD.B.6

Use probabilities to make fair decisions.

### HSS.MD.B.7

Analyze decisions and strategies using probability concepts.