Terminology (Leaving Cert Mathematics): Flashcards

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Terminology
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Definition of an experiment in probability

An activity or process that produces outcomes

Definition of an outcome

A possible result of an experiment

Definition of sample space SS

The set of all possible outcomes of an experiment

Definition of an event

A subset of the sample space (one or more outcomes)

Probability formula P(E)P(E)

P(E)=Favourable outcomesTotal outcomesP(E) = \frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Range of probability values

From 00 (impossible) to 11 (certain)

Definition of mutually exclusive events

Events that cannot occur simultaneously

Definition of independent events

Outcome of one event does not affect the other

Definition of dependent events

Outcome of one event affects the outcome of another

Definition of complement of event EE

All outcomes in SS not in EE, denoted E′E'

Conditional probability formula P(A∣B)P(A|B)

P(A∣B)=P(A∩B)P(B)P(A|B) = \frac{P(A \cap B)}{P(B)}, where P(B)>0P(B) > 0

Definition of a random variable

Assigns a numerical value to each outcome of an experiment

Discrete vs continuous probability

Discrete: countable outcomes; Continuous: outcomes over a range

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