Question: 1. (5 points) Construct a probability distribution over three random variables A, B, C such that (A J B) but (A J B C) does

1. (5 points) Construct a probability distribution over three random variables A, B, C such that (A J B) but (A J B C) does not hold. Please describe either CPTs or a joint distribution that has this property. Please also show the calculations of (conditional) probabilities, e.g., Pr(A, B), Pr(A), Pr(B), Pr(A, B C), Pr(A|C), Pr(B|C), etc, to prove your point

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