1. Suppose we randomly select two students from a mathematics class and asked whether the student selected each time is a member of a math-club or not. Write all the outcomes for this experiment. Draw the Venn and Tree diagrams for this experiment.
2. In your class, some students may be in favor of a closed-book exam and others may be in favor of an open-book exam. Suppose you select two students randomly from this class and asked whether they are for closed-book or for open-book exams. How many distinct outcomes are possible? Draw the Venn and Tree diagrams for this experiment.