Question: Let X , Y , and Z be three different events.Do the following statements hold true (where X || Y means X is independent of

Let X, Y, and Z be three different events.Do the following statements hold true (where X || Y means X is independent of Y)?If they dont, provides a counterexample. (Hint: a counterexample can be given by showing a causal graph that entails the antecedent but not the consequent.)

If X || Y and Y || Z, then X || Z.
If X and Y are dependent and Y and Z are also dependent, then X and Z are dependent.

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