7/10 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 the correct choice from the following options:
A) 28% B) 41% C) 60% D) 72% E) 78%
Total population = 100 (assume).   7/10*100= 
<gadget id="calculator">7/10*100</gadget>
<output>70</output>
70 people from Montague.   3/10*100= 
<gadget id="calculator">3/10*100</gadget>
<output>30</output>
30 people from Capulet.   0.2*70= 
<gadget id="calculator">0.2*70</gadget>
<output>14</output>
14 people from Montague support Juliet.   0.7*30= 
<gadget id="calculator">0.7*30</gadget>
<output>21</output>
21people from Capulet support Juliet.   The probability that a Juliet supporter chosen at random resides in Capulet is 21/(14+21)=~60.   Answer: 60%
<result>C</result>
7/10 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