Question

Sendo P(A) = 1/2, P(B) = 1/4 e P(A ∩ B) = 1/8, calcular:​

Answer 1

a) P(A') = 1 - P(A) = 1/2

P(B') = 1 - P(B) = 3/4

b) P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B) = 1/2 + 1/4 - 1/8 (igualando os denominadores)

P(A U B) = 4/8 + 2/8 - 1/8

P(A U B) = 5/8

c) P(B - A) = P(B) - P(A ∩ B)

P(B - A) = 1/4 - 1/8

P(B - A) = 2/8 - 1/8

P(B - A) = 1/8

d) P((A ∩ B)') = 1 - P(A ∩ B) = 7/8