The figure shows the schematic of a production process with machines $A, B$ and $C$. An input job needs to be pre-processed either by $A$ or by $B$ before it is fed to $C$, from which the final finished product comes out. The probabilities of failure of the machines are given as:
$$P_A=0.15, P_B=0.05, P_C=0.1$$
Assuming independence of failures of the machines, the probability that a given job is successfully processed (up to the third decimal place) is ________.