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10 cards from this deck
P(A)=Number of favorable outcomesTotal outcomesP(A) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}P(A)=Total outcomesNumber of favorable outcomes
P(A′)=1−P(A)P(A') = 1 - P(A)P(A′)=1−P(A)
P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B)P(A∪B)=P(A)+P(B)−P(A∩B)
P(A∩B)=P(A)×P(B)P(A \cap B) = P(A) \times P(B)P(A∩B)=P(A)×P(B)
P(A∣B)=P(A∩B)/P(B)P(A | B) = P(A \cap B) / P(B)P(A∣B)=P(A∩B)/P(B)
P(A)=ΣP(Bi)×P(A∣Bi)P(A) = \Sigma P(B_i) \times P(A | B_i)P(A)=ΣP(Bi)×P(A∣Bi) for exhaustive events
P(Bi∣A)=P(Bi)×P(A∣Bi)/P(A)P(B_i | A) = P(B_i) \times P(A | B_i) / P(A)P(Bi∣A)=P(Bi)×P(A∣Bi)/P(A)
P(at least one)=1−P(none)P(\text{at least one}) = 1 - P(\text{none})P(at least one)=1−P(none)
P(Rolling a 4)=16P(\text{Rolling a 4}) = \frac{1}{6}P(Rolling a 4)=61
P(A∩B)=P(A)×P(B∣A)P(A \cap B) = P(A) \times P(B | A)P(A∩B)=P(A)×P(B∣A)
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