Consider 4 distinct vertices , I2, I3 and IA X4 1 For any two distinct points p; and p, an edge will appear with probability 2/3. And, all edges appear independently. For example, the edge < , 2 > appear with probability 2/3, and is independent with the appearance of the edge < 1,3 >. XA (a) [1 point] What is the probability that is disconnected with all 2,3 and 4? (b) [1 point] What is the probability of getting the following cycle? I1 as follows I2 IA I1 I3 (c) [1 point] What is the probability of getting the following clique? A clique is a graph where any two distinct vertices are connected by a edge. 13 I2 I2