In an office there are two boxes of computer disks: Box C₁ contains seven Verbatim disks and three Control Data disks, and box C₂ contains two Verbatim disks and eight Control Data disks. A person is handed a box at random with prior probabilities P(C₁) = 2/3 and P(C₂) = 1/3, possibly due to the boxes’ respective locations. A disk is then selected at random and the event C occurs if it is from Control Data. Using an equally likely assumption for each disk in the selected box, compute P(C₁|C) and P(C₂|C).