Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice. Find the probability:
(a) Getting an odd sum.

A) 1/2
B) 1/3
C) 1/4
D) 1/6
(b) Getting an odd sum given that a 3 was rolled.
A) 1/2
B) 1/3
C) 1/4
D) 1/6
(c) Getting a 3 given that at least one die shows an odd number.
A) 1/6
B) 1/8
C) 1/12
D) 1/18