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10 cards from this deck
P(A)+P(B)−P(A and B)P(A) + P(B) - P(A \text{ and } B)P(A)+P(B)−P(A and B)
Either event A or event B (or both) occur
P(A)×P(B∣A)P(A) \times P(B \mid A)P(A)×P(B∣A)
1352=14\frac{13}{52} = \frac{1}{4}5213=41
452=113\frac{4}{52} = \frac{1}{13}524=131
1652=413\frac{16}{52} = \frac{4}{13}5216=134
351=117\frac{3}{51} = \frac{1}{17}513=171
113×117=1221\frac{1}{13} \times \frac{1}{17} = \frac{1}{221}131×171=2211
To avoid counting the overlap twice
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