Transition Matrices

Many steps at once

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• The transition matrix P has rows summing to 1.
• Tomorrow’s probabilities are xP; n days ahead, xPⁿ.
• Entries of Pⁿ add up all n-step paths.

Steps

1. The chain as a matrix
2. Two days ahead
3. Forgetting the start
4. Tune the rain
5. Rows and columns
6. Mixed start