6. Assume the following conditions in Taiwan: 10% of undergraduate students study abroad as part of
their education. 60% of the undergraduate students who study abroad are female and 50% of the
undergraduate students who do not study abroad are female. Which of the following is/are correct:
(A)
Given a female undergraduate student, the probability that she studies abroad is 11.76%;
(B) The
overall percentage of female undergraduate students is 51%;
(C) The overall percentage of male
undergraduate students is 50%;
(D) Given a male undergraduate student, the probability that he
studies abroad is 4%;
(E) Given the undergraduate students who study abroad, the probability of male
is 8.16%.