Mathematics: Applications and Interpretation · Topic 4: Statistics and probability
AHL4.19 — Transition matrices and Markov chains
Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes
AIAHL4.19.1
Transition matrices, diagrams and powers
The state after $n$ steps is $s_n=T^n s_0$; reading and building a transition diagram.
AIAHL4.19.2
Regular Markov chains and the steady state
Long-term probabilities from repeated multiplication or by solving $\pi T=\pi$.