A special kind of individual interview in which researchers ask lengthy, free-flowing kinds of questions to probe for underlying ideas and feelings is called a

A special kind of individual interview in which researchers ask lengthy, free-flowing kinds of questions to probe for underlying ideas and feelings is called: depth interview.

Explanation:

In-depth interview

A kind of qualitative research including an unregulated individual interview with an individual respondent, attended by an extremely skilled interviewer. The goal of in-depth interviews is to know the underlying impulses, beliefs, perspectives, and opinions of respondents on a particular topic.

answer; permissive;

answer; (r/t) reaction time;