Probability - creado desde un Mapa Mental

Seite 1

Odds

Basic Concepts

Outcomes

Sample Space

Event

Experiments

involving "not" and "or"

involving "and"

Independent event

Addition rule of probality

Probability of the complement

Mutually exclusive events

Multiplication rule

Conditional Probability formula

for independent events

for any two events

Formulas

Theoretical

Empirical

Set Operations

Intersection

Complement

Union

Difference

Properties

certain event

impossible event

probability value

"The probabilities to win against the probabilities to lose".

Odds compare the number of favorable outcomes to the number of unfavorable outcomes.

The possible results of the experiment.

The set of all possible outcomes.

Any such subset of the sample space.

Any observation, or measurament of a random phenomenon.

P(E) = number of favorable outcomes / total number of outcomes = n(E) / n(S)

P(E) = number of times event E ocurred / number of times the experiment was performed

A ∩ B = { x|x ∈ A and x ∈ B }

A' = { x|x ∈ U and x ∉ A }

A U B = { x|x ∈ A or x ∈ B }

A - B = { x|x ∈ A and x ∉ B }

P(S) = 1

The probabilty of a certain event is 1.

P(Ø) = 0

The posibility of an impossible event is 0.

0 ≤ P(E) ≤ 1

The propabilty of an event is a number from 0 trough 1, inclusive.

P(A or B) = P(A) + P(B) - P(A and B)

P(not E) = 1 - P(E)

Mutually exclusive events cannot occur simultaneously.

P(A or B) = P(A) + P(B)

The probability of event B, computed on the assumption that even A has happened.

P(B|A) = P(A∩B) / P(A)

P(A and B) = P(A) ∙ P(B)

P(A and B) = P(A) ∙ P(B|A)

P(B|A) = P(B) or, equivantly P(A|B) = P(A)

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Probability

Anotaciones