TASK DEFINITION: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
PROBLEM: Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 49/64. How many marbles are in the bag?

 Option A: 24

 Option B: 48

 Option C: 60

 Option D: 96

 Option E: 84

SOLUTION: Option D

PROBLEM: Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?

 Option A: 70

 Option B: 65

 Option C: 75

 Option D: 85

 Option E: 80

SOLUTION: Option E

PROBLEM: Question: An auto supply store sells steering wheel covers arranged on display such that each of two different colors of steering wheel covers, blue, and purple are consecutive in a repeating pattern. If three consecutively displayed steering wheel covers are purchased, what is the probability that two of the steering wheel covers are purple?

 Option A: 3/4

 Option B: 2/5

 Option C: 1/4

 Option D: 2/3

 Option E: 1/2

SOLUTION:
Option E