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: During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?

 Option A:  21/55

 Option B:  18/44

 Option C:  21/99

 Option D:  28/44

 Option E:  36/55

Answer: Option C


Question: Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $8 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

 Option A: 8%

 Option B: 15%

 Option C: 46%

 Option D: 52%

 Option E: 56%

Answer: Option C


Question: Question: If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability W that N is divisible by 3?

 Option A: 1/3

 Option B: ¼

 Option C: 9/25

 Option D: 5/16

 Option E: 0

Answer:
Option D