AdvancedNumeric answer
Two-state weather desk · Part 3 of 3
A desk models each day as Clear or Storm. After Clear, tomorrow is Clear with probability 0.8 and Storm with probability 0.2. After Storm, tomorrow is Clear with probability 0.5 and Storm with probability 0.5. The transition probabilities stay the same each day.
Now Clear switches to Storm with probability 0.4 instead of 0.2; Storm still switches to Clear with probability 0.5. What is the new long-run fraction of Clear days?
Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.
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