Calculating Probabilities & Events (AQA A-Level Mathematics): Flashcards

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Calculating Probabilities & Events
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Formula for probability of event EE

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

Formula for complement of event EE

P(E′)=1−P(E)P(E') = 1 - P(E)

Complement of event EE meaning

Event that EE does not occur

Mutually exclusive events definition

Events that cannot occur at the same time

Formula: P(A or B)P(A \text{ or } B) if mutually exclusive

P(A)+P(B)P(A) + P(B)

Independent events definition

Occurrence of one does not affect the other

Formula: P(A and B)P(A \text{ and } B) if independent

P(A)×P(B)P(A) \times P(B)

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

P(A and B)P(B)\frac{P(A \text{ and } B)}{P(B)}

General formula for P(A or B)P(A \text{ or } B)

P(A)+P(B)−P(A and B)P(A) + P(B) - P(A \text{ and } B)

P(A and B)P(A \text{ and } B) if dependent events

P(A)×P(B∣A)P(A) \times P(B|A)

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