Amoeba extinction
An amoeba each generation, with equal probability each, dies, stays as one, splits into two, or splits into three. Starting from one amoeba, what is the probability the lineage eventually dies out? (to 3 decimals)
Show hints (2)+
- Condition on the first generation's outcome.
- Solve the cubic; take the root in (0,1).
Answer
Reveal answer →Final answer
0.4142 (± 0.005)
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