GATE Computer Science (CS) 2015 Shift 1 Solved Paper

Consider a LAN with four nodes 𝑆₁, 𝑆₂, 𝑆₃ and 𝑆₄. 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 transmit in the same slot. The probabilities of generation of a frame in a time slot by 𝑆₁, S₂, 𝑆_3, and 𝑆₄ are 0.1, 0.2, 0.3 and 0.4, respectively. The probability of sending a frame in the first slot without any collision by any of these four stations is ________.