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.

Input: Consider Input: Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?

 Option A: 343

 Option B: 147

 Option C: 189

 Option D: 063

 Option E: 027

Output: Option C


Input: Consider Input: Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-5) ∆ (5 ∆ −5) ?

 Option A: 49/9

 Option B: 49/16

 Option C: 81/16

 Option D: 81/25

 Option E: 100/81

Output: Option D


Input: Consider Input: Question: Which of the following values of x do not satisfy the inequality x2 - 3x + 2 > 0 at all ?

 Option A: 1 ≤ x ≤2

 Option B: -1 ≥ x ≥ -2

 Option C: 0 ≤ x ≤ 2

 Option D: 0 ≥ x ≥ -2

 Option E: None of these


Output: Option A