Multistage Events and Conditional Probability (HSC SSCE Mathematics Advanced): Flashcards

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Multistage Events and Conditional Probability
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Multistage events

Experiments with 2+ simple experiments performed in sequence

Tree diagram purpose

Visual tool showing all possible outcomes in multistage events

Calc prob with tree diagram: along branches?

Multiply probabilities along each branch

Calc prob with tree diagram: multiple paths?

Add probabilities from all favourable paths

Branch probabilities leaving a point must sum to?

11

Conditional probability

Likelihood of event occurring given another event has occurred

Meaning of P(AB)P(A|B) notation

Probability of AA given that BB has occurred

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

P(AB)=ABBP(A|B) = \frac{|A \cap B|}{|B|}

Array representation

Grid format with rows/columns showing outcome combinations

Two-way table purpose

Displays frequency distributions for two categorical variables

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