Uniform Irwin-Hall versus a coin toss

Suppose $U_1$ and $U_2$ are i.i.d. $\mathrm{U}(0,1)$ random variables. Further, let $X$ be a $\mathrm{Bin}(2,0.5)$ random variable that is independent of $(U_1,U_2)$. Then $36\,\mathbb{P}(U_1+U_2>X)$ is equal to __________ (answer in integer)