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Suppose Xi for i=1,2,3 are independent and identically distributed random variables whose probability mass functions are Pr[Xi=0]=Pr[Xi=1]=12 for i=1,2,3. Define another random variable Y=X1X2⊕X3, where ⊕ denotes XOR. Then Pr[Y=0∣X3=0]=______.
closed as a duplicate of: GATE2015-3_37