Question from Markov chain

I know the probability of each current state (states A or B) and also know the transition probability to shift the state from A to B. Now, what will be the next state, if the current state is either A or B? I want to code in MATLAB to know the next state. How to code it? Please, someone, help me.

Let The P(A)=0.7;P(B)=0.3;P(A/A)=0.8;P(B/A)=0.2;P(B/B)=0.7;P(A/B)=0.3

[John D'Errico]

So, you have the initial probability of A (thus P(A)) is

P(A) = 0.7

Likewise, you tell us that

P(B) = 0.8

I could have sworn that probabilities of disjoint events want to add to 1. At least, here, the universe of events is the set {A,B}, where A and B are disjoint events.

Once you resolve that dilemma, write the problem in the form of a 2x2 transition matrix. Call it T,

T = [.8 .2;.3 .7];

Now, create a row vector, that describes the current state. You might call it PAB.

Can you multiply the vector of probabilities by the transition matrix? What would that do for you? (Hint: TRY IT!)

[Shashibhushan Sharma]

Ok P(A)=0.7;P(B)=0.3; I will try.

[John D'Errico]

The transition is given by a matrix multiply. Create the vector

PAB = [.7 .3]