1. Sixty percent of the teachers at a certain high school are female. Forty percent of the teachers are females with a master's degree. What is the probability that a randomly selected teacher has a master's degree, given that the teacher is female?
2. Table 1 shows the projected number of advanced degrees (in thousands) earned in the United States in 2016 by gender and type of degree. Find the probability that a person selected at random who received an advanced degree
(a) Received a master's degree.
(b) Is male.
(c) Is female, given that the person received a master's degree.
(d) Received a doctor's degree, given that the person is female.
Table 1

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Bachelor's Master's Doctor's Total 329 Male 779 93 1201 1697 Female 1082 522 93 186 2898 Total 1861 851