Events and Outcomes (Leaving Cert Mathematics): Flashcards

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Events and Outcomes
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Definition of a trial in probability

The action or process carried out to generate a result

Definition of an outcome in probability

Any possible result that can occur from a trial

Definition of an event in probability

Specific result or group of results we are interested in

Basic probability formula P(E)P(E)

P(E)=successful outcomestotal outcomesP(E) = \frac{\text{successful outcomes}}{\text{total outcomes}}

Range rule for probability values

0≤P(E)≤10 \leq P(E) \leq 1 (between 0 and 1 inclusive)

Probability of a certain event

P(E)=1P(E) = 1 (guaranteed to happen)

Probability of an impossible event

P(E)=0P(E) = 0 (cannot possibly happen)

Definition of equally likely events

Events with exactly the same chance of happening

Meaning of 'random' in probability

Each possible choice has an equal chance of being picked

Meaning of 'fair' in probability

All outcomes are equally likely to occur

Total number of cards in a standard deck

52 cards

Number of suits and cards per suit in a deck

4 suits of 13 cards each

Red and black cards in a standard deck

26 red cards and 26 black cards

Condition for using basic probability formula

All outcomes must be equally likely to occur

How to present final probability answers

Simplify fractions to their lowest terms

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