Consider a LAN with 3 nodes N1, N2 and N3. Time is divided into fixed-size slots, and a node can begin its transmission only at the beginning of a slot. A collision is said to have occurred if more than one node transmits in the same slot. The probabilities of generation of a frame in a time slot by N1, N2 and N3 are 0.2, 0.4, and 0.6, respectively. The probability of sending a frame in the first slot without any collision by any of these three stations is \(\frac{x}{{1000}}\;.\;\) What is the value of x?