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Mathematics, 16.04.2020 19:12 caleb1009

A novel type of bacteria is found in a recent medical research. After every minute, the bacteria may die, or stay the same, or split into two or split into three with equal probability 1/4. All its offspring, if any, behave the same independently. Suppose there is only one bacteria in the petri dish, what is the probability that the bacteria population will die out.

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