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: 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
[A]: Option C


[Q]: Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?

 Option A: 30

 Option B: 31

 Option C: 32

 Option D: 32

 Option E: 37
[A]: Option B


[Q]: Question: The average of 10 numbers is 23. If each number is increased by 1, what will the new average be?

 Option A: 36

 Option B: 24

 Option C: 72

 Option D: 29

 Option E: 22
[A]:
Option B