COMP 2711 Ex 9

1

Let $A$ be ace, $D$ be diamond, $B$ be black

P (A \cup D \cup B) = P (A) + P (D) + P (B) - P (A \cap D) - P (A \cap B) - P (D \cap B) + P (A \cap D \cap B) = \frac{4}{52} + \frac{13}{52} + \frac{26}{52} - \frac{1}{52} - \frac{2}{52} - \frac{0}{52} + \frac{0}{52} = \frac{40}{52}