What is the extinction probability for a colony

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A cell produces 0, 1 or 2 offspring with probabilities 0.3, 0.2 and 0.5 respec- tively. (You may assume that cells produce offspring independently of one another.)

(i) What is the extinction probability for a colony that initially consists of three cells?

(ii) If a colony starts with a single cell, what is the probability that it is extinct in the second generation at the latest?

Reference no: EM132190192

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