# Math Chapt 13 probability Dylan

## 26 terms

### Outcomes

when you perform an experiment, the probbible results are called outcomes

### Event

is a collection of outcomes

### favorable outcomes

once you specifiy an event, the outcomes for that event are called favorable outcomes

### Sample Space

The set of all possible outcomes.

### Tree Diagram

You can represent a sample space by using an organized list, or a table.

### Two-Stage Experiment

An experiment with two stages or events.

### Multi-Stage Experiment

Experiments with more than two stages.

### Fundamental Counting Principle

Used to find the number of possible outcomes.

### Permutation

An arrangement of objects in which order is important.

### Factorial

The product of the positive integers less than or equal to n.

### Circular Permutation

Objects are arranged in a circle or loop.

### Combination

An arrangement of objects in which order is not important.

### Geometric Probability

Probability that involves a geometric measure such as length or area.

### Probability Model

a mathematical model used to match a random phenomenon.

### Simulation

The use of a probability model to recreate a situation again and again so that the likelihood of various outcomes can be estimated.

### Random Variable

A variable that can assume a set of values, each with fixed probabilities.

### Expected Value

Also known as mathematical expectations, is the average value of a random variable that one expects after repeating an experiment.

### Compound Event

Consists of two or more simple events.

### Independent Events

If the probability that A occurs does not affect the probability that B occurs.

### Dependent Event

If the probability that A occurs in some way changes the probability that B occurs.

### Conditional Probability

The notation P (B/A) is read the probability that event B occurs given that event A has already occurred.

### Probability Tree

A tree diagram with possibilities.

### Mutually Exclusive

If the two events cannot happen at the same time.

### Complement

Consists of all the outcomes in the sample space that are not included as outcomes of event A.

### Network

A collection or vertices, called nodes, and segments called edges that connect the nodes.

### Traceable Network

All of the nodes are connected, and each edge is used once in the network.