A dodecahedron number die has 12 faces. Each face is painted with one of the numbers from 1 to 12. Suppose you roll a fair dodecahedron die
and record the value on the top face.
a) What is the total number of possible outcomes of the sample space?

b) Let A be the event of selecting an odd number. List all the possible
outcomes of event A.

c) Let B be the event of selecting a number that is a multiple of 5.
Find P(B).

d) Draw a Venn diagram for the sample space and the two events
A and B. Place all possible outcomes in the Venn diagram.

e) From the Venn diagram, tell whether events A and B are mutually
exclusive events? Explain your answer.

f) Find the probability of the complement of B, noted P(B’).