There are two number cubes (dice) with faces labeled 1, 2, 3, 4, 5 and 6 equally likely. Roll two dice (one at a time) and calculate the sum of the two faces.

a. Display the sample space
b. P(sum of 8) =
c. P(odd sum or sum greater than 9)
d. P(odd sum and sum greater than 9)

Let A = rolling a 3 or a 4 first
Let B = sum of at most 7
e. P(A)=
f. P(B)=
g. P(A and B) =
h. Are A and B mutually exclusive? Why or why not?
i. Are A and B independent? Why or why not?