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ml-recall

#joint-probability

1 question from Probabilistic & Graphical Models

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Question 1: Short answer

easyAI-checkedProbabilistic & Graphical Models

A Bayes net has binary variables M (magic spell), V (viral outbreak), H (hippogriff seen), Z (zombie seen), R (time travelers seen) and edges M → H, M → Z, V → Z, V → R, with

P(M=T)P(M{=}T) P(V=T)P(V{=}T) P(H=T∣M=F)P(H{=}T \mid M{=}F) P(H=T∣M=T)P(H{=}T \mid M{=}T) P(R=T∣V=F)P(R{=}T \mid V{=}F) P(R=T∣V=T)P(R{=}T \mid V{=}T)
0.1 0.2 0.7 0.8 0.1 0.3
(M,V)(M, V) (F, F) (F, T) (T, F) (T, T)
P(Z=T∣M,V)P(Z{=}T \mid M, V) 0.01 0.4 0.5 0.6

What is P(M=T,H=T,Z=T,V=T,R=T)P(M{=}T, H{=}T, Z{=}T, V{=}T, R{=}T)?

a decimal, 5 decimal places