A lack of mathematical intuition is a serious problem for many people from engineering to biology to economics. It certainly plagued me throughout my engineering bachelors studies and is something I continually work to get better at.<p>In my opinion, physics students learn the best framework for thinking and get a very good mathematical intuition. For example, here&#x27;s a problem from an introductory QM book that really threw me for a loop when I was studying:<p><i>A needle of length L is dropped at random onto a sheet of paper ruled with parallel lines a distance L apart. What is the probability that the needle will cross a line?</i>