Can you please verify my answers to the problem shown in the attached screenshot?

Given A B A B P = A 0.7 0.3 and the initial-state matrix S, = 0.9 0.1 B 0.9 0.1 find S, for the given initial-state matrix So and interpret with a tree diagram. Find S, - S1 [0.72 0.28] (Type an integer or a decimal for each matrix element.) Fill in the values for the tree diagram shown below. State 0 State 1 The probability of transition from A to A, is 0.72 A1 0.9 Ap The probability of transition from An to B, is 0.28 B1 Start A1 The probability of transition from Bo to A, is 0.72 0.1 BO - B 1 The probability of transition from Bo to B, is 0.28 (Type integers or decimals.)