Sejam A e B eventos com P (A) = 3/8, P (B) = 1/2 e P (A ∩B) = 1/4. Determine: a) P (A ∪B); b) P (Ac); c) P (Bc); d) P (Ac ∩Bc); e) P (Ac ∪Bc); f) P...

Para resolver as probabilidades solicitadas, podemos usar as fórmulas apropriadas. a) P(A ∪ B) = P(A) + P(B) - P(A ∩ B) P(A ∪ B) = 3/8 + 1/2 - 1/4 P(A ∪ B) = 3/8 + 4/8 - 2/8 P(A ∪ B) = 5/8 b) P(Ac) = 1 - P(A) P(Ac) = 1 - 3/8 P(Ac) = 5/8 c) P(Bc) = 1 - P(B) P(Bc) = 1 - 1/2 P(Bc) = 1/2 d) P(Ac ∩ Bc) = P(Ac) * P(Bc) P(Ac ∩ Bc) = 5/8 * 1/2 P(Ac ∩ Bc) = 5/16 e) P(Ac ∪ Bc) = 1 - P(A ∩ B) P(Ac ∪ Bc) = 1 - 1/4 P(Ac ∪ Bc) = 3/4 f) P(A ∩ Bc) = P(Bc) - P(A ∩ Bc) P(A ∩ Bc) = 1/2 - 1/4 P(A ∩ Bc) = 1/4 g) P(B ∩ Ac) = P(B) - P(A ∩ B) P(B ∩ Ac) = 1/2 - 1/4 P(B ∩ Ac) = 1/4