Consider two independent events XXX and YYY with P(X)=0.4P(X) = 0.4P(X)=0.4 and P(Y)=0.5P(Y) = 0.5P(Y)=0.5. What is P(X∣X∪Y)P(X | X \cup Y)P(X∣X∪Y)?
0.571
0.667
0.400
0.800