Let X1,X2∼Uniform(0,1)X_1, X_2 \sim \text{Uniform}(0, 1)X1,X2∼Uniform(0,1) be independent. Define Y=∣X1−X2∣Y = |X_1 - X_2|Y=∣X1−X2∣. What is the variance of YYY?
118\frac{1}{18}181
112\frac{1}{12}121
136\frac{1}{36}361
19\frac{1}{9}91