Apolice detective continues to pursue the individual he feels is guilty of a robbery in the face of increasing evidence to the contrary. it is likely that the detective is experiencing:

The answer is belief perseverance.

Explanation:

Belief perseverance refers to a tendency related to keeping one's beliefs even though there is evidence that contradicts them. This tendency can be seen in all kinds of beliefs, they could be beliefs about ourselves, as well as related to other people. They could also be beliefs regarding the way through which the world works.

It is believed that people have a tendency related to clinging to their pre-existing beliefs, even though new information shows that those beliefs are wrong. It means that beliefs persist. This is usually seen in debates concerning climate change, criminal justice, as well as immigration.  

answer; /// i believe the correct answer is (b) disposition