Consider the situation where you have three game chips, each labeled with one of the numbers 5,6,& 7 in a hat:

a. If you draw out 2 numbers with replacement between draws, list the entire sample space of possible draws.

Define 2 events as follows for parts b to h below:

Event A: the sum of the 2 drawn numbers is odd

Event B: the sum of the 2 drawn numbers is a multiple of 3

Now, using your answer to part a. find the following probability values:

b. P(A)=

c. P(B)=

d. P(A&B)=

e. P(A or B)=

f. P(A given B)=

g. P(not B)=

h. Are events A and B mutually exclusive? Why or why not?