5/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is  Select the correct option: A) 28% B) 41% C) 45% D) 72% E) 68%
Total population = 80 (assume).   5/8*80= 
<gadget id="calculator">5/8*80</gadget>
<output>50</output>
50 people from Montague.   3/8*80= 
<gadget id="calculator">3/8*80</gadget>
<output>30</output>
30 people from Capulet.   0.2*50= 
<gadget id="calculator">0.2*50</gadget>
<output>10</output>
10 people from Montague support Juliet.   0.7*30= 
<gadget id="calculator">0.7*30</gadget>
<output>21</output>
21 people from Capulet support Juliet.   The probability that a Juliet supporter chosen at random resides in Capulet is 21/(10+21)=~68.   Answer: 68%
<result>E</result>
5/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is