A murder has taken place! The investigator estimates that the deed took place at 1800 hours (i.e. 6 PM) in the COB1 building. The suspects were interviewed and their alibis were remarkably probabilistic. Help out by breaking down the requested calculations. Let t be the number of hours after 12 noon.

Biology lecturer KD said that the chance that it was a Tuesday given that he was in the COB1 building is 74 percent and the chance that it was a Tuesday given that he was not in the COB1 building is 22 percent. Generally, the probability that he was in the COB1 building is 33 percent. Find the probability that he was in the COB1 building given that the crime took place on a Tuesday.