A prisoner is trapped in a cell containing 3 doors The first door leads to a tunnel that returns him to his cell after 2 days travel The second leads to a tunnel that returns him to his cell after 5 days travel The third door leads to freedom after 1 day of travel If it is assumed that the prisoner will always select doors 1 2 and 3 with respective probabilities 0 4 0 5 and 0 1 what is the expected number of days until the prisoner reaches freedom The expected number of days until the prisoner reaches freedom is Type an integer or a decimal Do not round C U L ZZZZZ 2 CE S 160