Probability

Experiment

An activity involving a chance of something happening

Event

A set of one or more outcomes

Impossible event

P(E) =0

Certain event

P(E) =1

Proabability

The chances or likelihood of something happening, often written as a fraction

Probability equation

P(E) =n(E)/n(s)

Sample Space

All the possible outcomes of an experiment

Experimental probability

The number of times the event has occurred over the total number of trials

Theroetical Probabilty

The number of ways the event can occur by the total number of likely outcomes

Independent Events

When the number of ways the event can occur by the total number of likely outcomes

Independent Events equation

P(A ∩ B) = P(A) * P(B)

Dependent Events

When one event does affect the second event

Mutually exclusive events

When the events have no outcomes in comment (one OR the other)

Mutually exclusive equation

P(A U B) = P(A) + P(B)

Probability of the Union of two events

A and B are in the same sample space

Probability of the Union of Events equation

P(A U B) = P(A) + P(B) - P(A ∩ B)