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15 cards from this deck
P(E)=favourable outcomestotal outcomesP(E) = \frac{\text{favourable outcomes}}{\text{total outcomes}}P(E)=total outcomesfavourable outcomes
P(E′)=1−P(E)P(E') = 1 - P(E)P(E′)=1−P(E)
Events that cannot occur at the same time
P(A or B)=P(A)+P(B)P(A \text{ or } B) = P(A) + P(B)P(A or B)=P(A)+P(B)
Occurrence of one does not affect the other
P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)P(A and B)=P(A)×P(B)
P(A∣B)=P(A and B)P(B)P(A|B) = \frac{P(A \text{ and } B)}{P(B)}P(A∣B)=P(B)P(A and B)
P(A or B)=P(A)+P(B)−P(A and B)P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)P(A or B)=P(A)+P(B)−P(A and B)
P(A and B)=P(A)×P(B∣A)P(A \text{ and } B) = P(A) \times P(B|A)P(A and B)=P(A)×P(B∣A)
16\frac{1}{6}61
0.60.60.6
113\frac{1}{13}131
413\frac{4}{13}134
1221\frac{1}{221}2211
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