We consider the following Bayesian network. We assume that all variables are binary.

We assume that

• P(a) = 0.2, P(b) = 0.8
• P(c|a,b)=0.7, P(c|a,b)=0.3, P(c|a,b)=0.6, P(c|a,b)=0.2
• P(d|b) = 0.9, P(d|b) = 0.8

Calculate the following probabilities (keep only four decimal values for all probabilities). Note: you will use the proportion sign in your answer. Please copy it into your formula in the following form.

1. P(b|a,c)
2. P(b|c,d)

. B D