**Sample Space:**The set of all possible outcomes of an experiment.**Event:**A subset of the sample space.**Probability of an Event:**The likelihood of an event occurring, represented by a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.

**Probability of an Event A:**P(A) = Number of favorable outcomes / Total number of outcomes**Probability Rules:****Addition Rule:**P(A or B) = P(A) + P(B) - P(A and B) if A and B are not mutually exclusive.**Multiplication Rule:**P(A and B) = P(A) * P(B|A) if A and B are independent events.

**Theoretical Probability:**Based on what should happen under ideal conditions.**Experimental Probability:**Based on actual outcomes of an experiment or event.**Conditional Probability:**The probability of an event occurring given that another event has already occurred.**Independent and Dependent Events:**Events are independent if the occurrence of one event does not affect the occurrence of the other. Events are dependent if the occurrence of one event does affect the occurrence of the other.

**Gambling and Games:**Understanding probability helps in making informed decisions in games of chance.**Weather Forecasting:**Probability is used to predict the likelihood of certain weather conditions.**Medical Testing:**Probability is used to assess the accuracy and reliability of medical tests.

Study GuideProbability Worksheet/Answer key

Probability Worksheet/Answer key

Probability Worksheet/Answer key

Probability Worksheet/Answer key

Probability Concepts

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Data Analysis and Probability (NCTM)

Understand and apply basic concepts of probability.

Describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible.

Understand that the measure of the likelihood of an event can be represented by a number from 0 to 1.