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Vocabulary - Coggle Diagram
Vocabulary
Three important pieces of initial vocabulary
A trial
Repetition of an experiment
An event
this is an observable outcome itself e.g result of the experiment
An experiment
an activity which represents an observable outcome
Where did P (A) come from?
From empirical studies
Based on history
Do one trial, then repeat n times so we have n trials
we then count the number of times event A occurs: f
Relative frequency for event A = f / n
From common sense- assuming each possible simple event is equally likely: classical probability
Number of favourable outcomes / Total number of possible outcomes
Personal judgement: Subjective probability
Example
Perform one trial of an experiment
The probability that event A occurs measures 'how often' A will occur = P (A)
P (A)= must be between 0 - 1
If event A can never occur P (A) = 0
If event A always occurs when the experiment is performed P (A) = 1
Sample space (S)
collection of all the possible simple events
Simple events
A simple event is one that can only happen in one way - in other words, it has a single outcome.
Compound event
is an event that has more than one possible outcomes