Conditional Probability Formulae (HSC SSCE Mathematics Advanced): Flashcards

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Conditional Probability Formulae
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What P(A∣B)P(A|B) measures

Likelihood of A given B has already occurred

How to read P(A∣B)P(A|B)

Probability of event A given event B

P(A∣B)P(A|B) for equally likely outcomes

P(A∣B)=∣A∩B∣∣B∣P(A|B) = \frac{|A \cap B|}{|B|}

Meaning of ∣A∩B∣|A \cap B|

Number of outcomes in both A and B

P(A∣B)P(A|B) using probabilities

P(A∣B)=P(A∩B)P(B)P(A|B) = \frac{P(A \cap B)}{P(B)}

Definition of P(A∩B)P(A \cap B)

Probability of both A and B occurring

When to use Venn diagrams

Survey data or overlapping groups

When to use tree diagrams

Sequential events or joint probabilities

Requirement for P(A∣B)P(A|B) formula

P(B)≠0P(B) \neq 0

Range of conditional probability

Between 0 and 1

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