Biochemist from Siberia has just patented a new super genome formed by amalgamating genome X and genome Y. These genomes are harmless when separate, but when mixed there is a 45% chance of an unwanted side-reaction and a 10% chance of no reaction at all. Calculate the time until the absorbing state given that the chemicals are initially seperate.
The time before reaching the absorbing state is also called the mean time to failure (MTTF). This is the “Laplace transform” of the rate of the disaster. I would like to understand this, not to be solved, so please give me only directions where to go.