Let X,YX, YX,Y be independent with X∼Exp(1)X \sim \text{Exp}(1)X∼Exp(1) and Y∼Exp(2)Y \sim \text{Exp}(2)Y∼Exp(2). What is P(X<Y)P(X < Y)P(X<Y)?
13\frac{1}{3}31
23\frac{2}{3}32
12\frac{1}{2}21
34\frac{3}{4}43