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.

[Q]: Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and four lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?

Option A: 2/5

Option B: 3/7

Option C: 7/12

Option D: 11/15

Option E: 17/25
[A]: Option D

[Q]: Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?

Option A: 6029

Option B: 6299

Option C: 6000

Option D: 6018

Option E: 60012
[A]: Option C

[Q]: Question: If a fair die is rolled five times, what is the probability that a 3 occurs on at least one roll?

Option A: 25/36

Option B: 125/216

Option C: 64/107

Option D: 11/36

Option E: 36/216
[A]:
Option C