The visual connections between diagrams in Probability are shown in this 1 page document. After teaching AP Statistics for 5 years and seeing students solve problems using multiple methods, I searched to find these connections and help other teachers see the validity of different methods in the same problem (instead of "well you do this problem this way"). After finding nothing on the internet, I created it myself. Now teaching Geometry, every year I make students do a Binary Data Collection project where they display a 2-way frequency (counts) table and a relative frequency table, Venn diagram, double bar graph and a tree diagram connecting all of their results. Students become better at deciding which model helps them solve different probability problems, better at understanding visuals for union and intersection, and teachers become more confident in grading different methods. I will post the Probability Project sometime later for free.