In a village of 2,700 people, 900 people are over 70 years old and 1200 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 female or younger than 70 years old?
Options.
A) 7/8
B) 14/15
C) 29/30
D) 44/45
E) 131/135
The number of people younger than 70 years old is   2700-900= 
<gadget id="calculator">  2700-900</gadget>
<output>1_800</output>
1800   The number of females older than 70 years old is   0.6*1200= 
<gadget id="calculator">  0.6*1200</gadget>
<output>720</output>
720   The number of people who are either female or younger than 70 is  1800+720= 
<gadget id="calculator"> 1800+720</gadget>
<output>2_520</output>
2520.   P(a person is younger than 70 or male)= 2520/2700 = 14/15   The answer is 14/15.
<result>B</result>
In a village of 2,700 people, 900 people are over 70 years old and 1200 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 female or younger than 70 years old?