Consider the situation where you have three game chips, each labeled with one of the the numbers 2, 3, and 8 in a hat:

a. If you draw out 2 chips without replacement between each chip draw, list the entire sample space of possible results that can occur in the draw. (2,3) (2,8) (3,2)(3,8)(8,2)(8,3)

Use the three events are defined as follows, to answer parts b through n below: Event A: the sum of the 2 drawn numbers is even.

Event B: the sum of the 2 drawn numbers is a multiple of 5.

Event C: the sum of the 2 drawn numbers is a prime number.

Now, using your answer to part a. find the following probability values: b. P(A)= c. P(B)= d. P(C)= e. P(A & B)= f. P(A or B)= g. P(A or C)= h. P(B & C)= i. P(A given B)= j. P(C given B)= k. P(not B)= l. P(not C)= m. Are events A and B mutually exclusive?Why or why not? n. Are events A and C mutually exclusive?Why or why not?