6 wireless hosts, numbered 0 through 5, are distributed in a geographic region in rougth a ring shape. Node i can hear transmissions from neighbor nodes {i + 1] mod 6 and {1' 1] mod 6. However, if these 2 neighbors choose to transmit on the same channel, the interference makes it impossible for node f. to receive from either neighbor. Also, if node 1' tries to transmit on the same channel as one of its neighbors, it will not be able to receive from that neighbor. (a) Suppose that all nodes independently select their transmission channel from 3 possible channels, with equal probability. Assume nodes can listen to transmissions on any of the three channels, when there isn't interference between the 2 neighbors. Mat is the chance that all nodes in the ring can receive transmissions from both neighbors? (b) Suppose now that the nodes follow an alternative strategy. Node 0 picks a channel from the 3 possible channels, with each having equal probability. Node 1 can sense Node [l's selection, so it picks from the remaining 2 channels with equal probability. This sequential channel selection process continues with node .'2 picking after node 1 and so on. For i