Part 1. 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.
Part 2. Example
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

Option A:2/1223

Option B: 1/122

Option C: 1/221

Option D: 3/1253

Option E: 2/153

Answer: Option C
Explanation: Let s be the sample space.
Then n(s) = 52C2 = 1326
E = event of getting 2 kings out of 4
n(E) = 4C2 = 6
P(E) = 6/1326 = 1/221
Part 3. Exercise
Question: Three grades of milk are 1 percent, 2.7 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2.7 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 2.5 percent grade, what is x in terms of y and z?

Option A: y + 3z

Option B: (y +z

Option C: 2y + 5z

Option D: 3y + z

Option E: 3y + 4.5z
Answer:
Option C