finding probability for unknown person among multiple candidates

44 Views Asked by At

There are 3 people A, B, C. A, B, and C each have a computer and one computer, D, that they all share.

Over 10 days we see A use his computer 100 times, B use his computer 25 times, and C use his computer 55 times

We know that computer D is used 50 times. Out of 50, we have certainty on 8 of the usage events of D

D is used by A on two occasions
D is not used by B on one occasion 
D is used by C on three occasions
D is not used by C on two occasions

I want to get a distribution of the usage of D, i.e. D is used by A 35% of the time, D is used C 50% of the time and D is B used 15% of the time. How would this problem be set up, or is it not possible to be solved.