Question

• Qual o valor de P(A ∪ B) sabendo que P(A) = 1/4, P(B) = 1/2 e P(A/B) = 1/8.

A) 9/16
B) 3/11
C) 1/3
D) 5/8
E) 11/16​

Answer 1

Resposta:

Alternativa d)

Explicação passo a passo:

P(AUB) = P(A) + P(B) – P(A∩B)

Dados: P(A) = 1/4, P(B) = 1/2 e P(A/B) = 1/8

Substituindo na fórmula:

P(AUB) = 1/4+1/2-1/8

MMC (2,4,8)

2, 4, 8 | 2

1, 2, 4 | 2

1, 1, 2 | 2

1, 1, 1 | 1

MMC = 2 . 2 . 2 = 8

P(AUB) = 1/4+1/2-1/8=(2+4-1)/8=5/8