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.

Problem: how many integers are between 6 and 74 / 5, inclusive ?
Options: a. 4, b. 5, c. 6, d. 7, e. 9
e

Problem: 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 25 / 36. how many marbles are in the bag ?
Options: a. 24, b. 48, c. 60, d. 72, e. 84
b

Problem: in 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ?
Options: a. 1 / 32, b. 2 / 32, c. 3 / 32, d. 4 / 32, e. 5 / 32
e