For the Bayes net below Is it true that PX Y Z PX Z Expla

For the Baye\'s net below:

-Is it true that P(X | Y, Z) = P(X | Z)? Explain.

-Show how you would calculate P(X | Y).

Solution

-Is it true that P(X | Y, Z) = P(X | Z)? Explain.

Yes, because X only depends of Z so if you are going to calculate P( X/Y,Z) you would notice that X is not related with Y, only with Z

-Show how you would calculate P(X | Y).

P(X / Y ) = P( X and Y ) / P(Y)

P(X and Y) = 0 because they dont have nothing in common

P( X/Y) = 0 / P(Y) = 0