$P(X_2<X_1)=\theta_1/(2\theta_2)$ when $\theta_1<\theta_2$

Let $X_1$ and $X_2$ be independent rvs with $U(0,\theta_i)$, $i=1,2$ respectively. Let $Z_1=\min(X_1,X_2)$ and $Z_2=0$ if $Z_1=X_1$, $1$ if $Z_1=X_2$. Which of the following statements is correct?