▲ Camp45
Sign inStart free

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

  1. 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.

  2. AIAHL4.19.2

    Regular Markov chains and the steady state

    Long-term probabilities from repeated multiplication or by solving $\pi T=\pi$.

Full notes + a tutor. Every subject, one payment.

Camp45 turns the syllabus into notes that give you exactly what the exam asks — so you study smarter, not harder.

Monthly

€19/mo

Flexible — cancel anytime

Go monthly
Most popular

This exam year

€149

Every subject, paid once

Get this exam year

Both diploma years

€229

Both years, paid once

Get both years

Syllabus-exact notes

Every understanding statement written out in full — nothing more than the exam asks, nothing left out.

A tutor that answers from the syllabus

Ask anything and it answers from the exact points you are studying.

Every subject, one payment

All 26 IB subjects, SL & HL, covered by a single payment — no per-subject fees.

No credit card. Try the free Biology preview before you commit.