In a village of 2,600 people, 800 people are over 70 years old and 850 people are female. It is known that 40 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?
Choose the correct option.
A) 221/250 B) 199/250 C) 33/50 D) 8/25 E) 209/260
The number of people younger than 70 years old is   2600-800= 
<gadget id="calculator">  2600-800</gadget>
<output>1_800</output>
1800   The number of females older than 70 years old is   0.6*850= 
<gadget id="calculator">  0.6*850</gadget>
<output>510</output>
510   Then the number of males older than 70 years old is   800 - 510= 
<gadget id="calculator">  800 - 510</gadget>
<output>290</output>
290.   The number of people who are either male or younger than 70 is  1800+290= 
<gadget id="calculator"> 1800+290</gadget>
<output>2_090</output>
2090.   P(a person is younger than 70 or male)= 2090/2600 = 209/260   The answer is 209/260.
<result>E</result>
In a village of 2,600 people, 800 people are over 70 years old and 850 people are female. It is known that 40 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?