Brain Teaser Problem

Upon completing an online assessment for a job interview, I thought about why do companies like testing candidates of brain-teaser type probability questions. These types of questions make me go blank in the first few minutes, because whenever I see a probability problem, I am trained to mathematically deconstruct the problem in some way. For this particular problem, I was able to solve it only after I gave up on mathematically defining the problem, but rather by thinking intuitively. I feel like this is an artifact of the technical learning that I received from statistics classes, where I focused too much on getting used to using formulas and making statistics all about math.