Math: Western Style

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It’s 1832 and 22% of the western US of A is 78% lawless. Your gang of 5 outlaws is planning a train robbery that, if caught, could put your gang being bars for 15-20 years. If the lawlessness rate is diminishing by 6% a year and you need 6 months to plan your train heist, what is the probability that your gang will get away Scott free?
Show your work.TDC1511

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