In a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. It is known that 60 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?	Answers:  A) 4 / 5  B) 5 / 7  C) 13 / 15  D) 37 / 45  E) 79 / 90

Rationale: "the number of people younger than 70 years old is 2700 - 900 = 1800 the number of females older than 70 years old is 0.4 * 1200 = 480 the number of males older than 70 years old is 900 - 480 = 420 the number of people who are either male or younger than 70 is 1800 + 420 = 2220 . p ( a person is younger than 70 or male ) = 2220 / 2700 = 37 / 45 the answer is d ."
Answer: D