Consider a LAN with four nodes 𝑆1, 𝑆2, 𝑆3 and 𝑆4. Time is divided into…

GATE Β· 2015 Β· CS Β· Set 1 Β· Computer Science & IT

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, 𝑆3 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 _____________.

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