6/9 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 Choose one.
A) 64%
B) 41%
C) 45%
D) 72%
E) 78%
Total population = 90 (assume).   6/9*90= 
<gadget id="calculator">6/9*90</gadget>
<output>60</output>
60 people from Montague.   3/9*90= 
<gadget id="calculator">3/9*90</gadget>
<output>30</output>
30 people from Capulet.   0.2*60= 
<gadget id="calculator">0.2*60</gadget>
<output>12</output>
12 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/(12+21)=~64.   64%nswer: 64%
<result>A</result>
6/9 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