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Task-3 - Probability A. Consider the random variables A, B, and C. Which one(s) of the following equalities may not always be true? 1.P(A, B)
Task-3 - Probability
A.
Consider the random variables A, B, and C. Which one(s) of the following equalities may not always be true?
1.P(A, B) = P(A) P(B) P(A|B) 2.P(A, B) = P(A) P(B) 3.P(A, B) = P(A|B) P(B) + P(B|A) P(A)
4.P(A,B,C)=P(C|A) P(B|C,A) P(A)
B.
If P(A|B) = P(A), can we then say P(A|C,B) = P(A|C)? If no, can you provide a counter- example?
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