Conditional Probability (AQA GCSE Maths): Flashcards

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Conditional probability
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Conditional probability definition

Probability where one event influences another (dependent events)

P(AB)P(A|B) notation meaning

Probability of A given B has happened

Key phrase indicating dependent events

Without replacement

For independent events, P(AB)P(A|B) =

P(A)P(A)

AND rule formula: P(AextandB)P(A ext{ and } B) =

P(A)imesP(BA)P(A) imes P(B|A)

Tree diagrams: finding specific combination probabilities

Multiply along branches

Tree diagrams: finding prob. of same outcome different ways

Add the probabilities

What are 'connected events'?

Events where one outcome affects the next (a conditional probability clue)

Effect of 'without replacement' on probabilities

Changes probabilities for subsequent events

Central question of conditional probability

What's the chance of A, knowing B already occurred?

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