Question

Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables :

| P(.)
---|---
U = 0| 0.5
U = 1| 0.5
| P(V = 0| .)| P(V = 1| .)
---|---|---
U = 0| 0.5| 0.5
U = 1| 0.5| 0.5
| P(W = 0| .)| P(W = 1| .)
U = 0| 1| 0
U = 1| 0| 1
| | P(Z = 0| .)| P(Z = 1| .)
---|---|---|---
V = 0| W = 0| 0.5| 0.5
V = 0| W = 1| 1| 0
V = 1| W = 0| 1| 0
V = 1| W = 1| 0.5| 0.5
The value of P(U = 1, V = 1, W = 1,Z= 1) = ______. (rounded off to three decimal places)

Answer 1

The correct answer is 0.125