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.
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Question: Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9?

 Option A: 2

 Option B: 3

 Option C: 1

 Option D: 6

 Option E: 4

Answer: Option D


Question: Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?

 Option A: $18,400

 Option B: $19,500

 Option C: $20,200

 Option D: $20,700

 Option E: $21,100

Answer: Option D


Question: Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?

 Option A: 3/5

 Option B: 3/7

 Option C: 2/5

 Option D: 3/11

 Option E: 3/13

Answer:
Option C