Tie probability for overlapping minima

Let $U_1, U_2, U_3$ be three independent exponential random variables such that $U_k$ has the following probability density function $f_k(x) = \begin{cases} k e^{-kx}, & x > 0 \ 0, & \text{otherwise} \end{cases}$, $k = 1, 2, 3$. Let $X = \min\{U_1, U_3\}$ and $Y = \min\{U_2, U_3\}$. Then $P(X = Y)$ equals ________ (rounded off to two decimal places).