How can I read this diagram to find communicating classes and compute probabilities from it? Our professor explained it, but I'm still really struggling. Thank you very much in advance.

D.5 04 0.5 0.1 0.2 2 1.2 0.5 0.6 0.2 0.3 Figure 1: Transition Probability Graph for X = (X, : n 2 0) 3. Suppose that X = (X, : n 2 0) is a Markov chain having transition probability graph as shown in Figure 1. (Each part carries 2 points.) a.) Identify the communication classes and provide the reasoning. b.) Compute P(X3 = 1/X, = 1). c.) Compute P(X103 = 6|Xo =6) and P(X103 = 7|Xo = 6). d.) Compute P(X3 = 4/Xo = 4). (Remark: Imagine in this problem that you are not able to compute matrix product for matrices with size larger than 4 x 4. )