Intro to Probability Sample Space Sample space is

Intro to Probability

Sample Space �Sample space is the list of all possible outcomes. �With a 6 sided die, �Flip of a coin, �Notice that we will us S to represent the full sample space.

Sample Space �Sample space can come in different forms, depending on the style of the problem. �Rolling 2 six-sided dice can have a sample space of

Sample Space �Or…

Event �If a sample space is a set of outcomes, then an event is a subset. �A subset of rolling a six-sided die would be the even numbers. �Or odd numbers. �Notice that we will use different letters for different events (and never S).

Probability Models �Which brings us to how to represent events. There are several ways that we will explore throughout the unit on probability, but some of the most basics are: �Tree Diagrams �Venn Diagrams �Listing out S.

Tree Diagram �Is useful in allowing us to see discrete (countable) outcomes. This also allows us to quickly compute probabilities.

Venn Diagram �A Venn diagram allows us to consider continuous probabilities, as well as events that are not disjoint.

Remember… �If you can draw it, do. Probability can be a scary and confusing place, filled with things we think are true, but instead are false. �What you think you see and what you think you know about probabilities should be based on facts, not conjecture (unless we have nothing else to go on).