Events (Leaving Cert Mathematics): Flashcards

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Conditional Probability
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Conditional probability definition

Probability of an event given another event already occurred

Formula for P(A∣B)P(A \mid B)

P(A∣B)=P(A and B)P(B)P(A \mid B) = \frac{P(A \text{ and } B)}{P(B)}

Meaning of P(A∣B)P(A \mid B)

Probability of AA given BB

Numerator in P(A∣B)P(A \mid B) formula

P(A and B)P(A \text{ and } B)

Denominator in P(A∣B)P(A \mid B) formula

P(B)P(B)

Red cards in 52-card deck

26 (13 Hearts and 13 Diamonds)

Red Aces in 52-card deck

2

P(Ace∣Red Card)P(\text{Ace} \mid \text{Red Card}) in standard deck

113\frac{1}{13}

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