Question

When do you make the decision on whether to use a Venn diagram or a tree diagram to solve a probability problem? Explain.

Answer 1

Usually, we use a Venn diagram or a tree diagram when the scenario of decision making involves more events which may be mutually exclusive, exhaustive, or inclusive in nature. There is some phenomenon which involves the sample population with different events defined within it. Venn diagrams allow us to see the phenomenon and it’s complications visually and it helps us for understanding the complications and intersections of different events. Venn diagrams and tree diagrams are very useful for understanding and solving the conditional probabilities. A tree diagram explains the step by step process for understanding the probability distribution of the different events. We use a Venn diagram and tree diagram for finding the probabilities of different events when we are given different conditions on the events under sample space.