Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Input: Consider Input: Problem: three 6 faced dice are thrown together. the probability that exactly two dice show the same number on them is
Options: a. 5 / 15, b. 5 / 12, c. 5 / 19, d. 5 / 12, e. 5 / 11

Output: b


Input: Consider Input: Problem: in traveling from a dormitory to a certain city, a student went 1 / 3 of the way by foot, 3 / 5 of the way by bus, and the remaining 2 kilometers by car. what is the distance, in kilometers, from the dormitory to the city ?
Options: a. 30, b. 45, c. 60, d. 90, e. 120

Output: a


Input: Consider Input: Problem: a cube has one of its faces painted half red and half white. the other faces are completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube ?
Options: a. 1: 6, b. 1: 11, c. 2: 5, d. 1: 8, e. 3: 11


Output: b