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.
--------
Question: Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?

 Option A:  7%

 Option B:  14%

 Option C:  21%

 Option D:  28%

 Option E:  35%

Answer: Option C


Question: 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

Answer: Option C


Question: Question: The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 3x)^3 is between
Bunuel, can you please explain this one?

 Option A: 0 and 0.5

 Option B: 0.5 and 1

 Option C: 1 and 1.5

 Option D: 1.5 and 2

 Option E: 2 and 2.5

Answer:
Option D