Instructions Part I - Consider rolling a 6-sided die. The outcome of interest is the number of dots that appear on the top side when the die stops rolling. The possible outcomes are 1, 2, 3, 4, 5 & 6. Let the universe be the set of possible outcomes from rolling a 6-sided die; that is the universe is U = {1, 2, 3, 4, 5, 6}. Explicitly list the outcomes for the following sets.

a) E = the even numbers b) O = the odd numbers c) P = the prime numbers (i.e. the numbers that are only divisible by exactly two positive integers, 1 and itself) d) C = the composite numbers (the numbers that have three or more positive integer divisors) e) E ? O f) O\P g) O ? P h) P ? C i) (P ? C)c j) (O ? P) ? (P ? C)c Part II - Shade in the area on a Venn diagram that represents the sets listed in (a) through (h). You will have to draw a separate Venn diagram for each set. For sets that involve only two-component sets, A and B, start with the following Venn diagram.

\fu A B