Let X∼Uniform(0,2)X \sim \text{Uniform}(0, 2)X∼Uniform(0,2) and Y∼Uniform(0,2)Y \sim \text{Uniform}(0, 2)Y∼Uniform(0,2) be independent. What is P(X+Y<1)P(X + Y < 1)P(X+Y<1)?
1/8
1/4
1/2
1/16