Question

Sixty percent of teachers at a high school are female. Forty percent of the teachers are female and possess a master's degree. If a randomly selected teacher is female, what is the probability that she possess's a master's degree? FOLLOW INSTRUCTIONS BELOW

1.Define the sample space S.

2.Define the minimum number of events needed to solve this problem.

3.Write out the appropriate (set and probability) notation for each of the given probabilities.

4.Write out the probability that you are going to determine using the appropriate (set and probability) notation.

5.Substitute values in and solve the problem.

6.Your final answer should be in the form of a sentence

Answer 1

1)Sample space->All teachers in the school

2)For the minimum number of events we need to have both 0.6N and 0.4N to be a whole number. This would be possible with N=5.

3)Let A denote Femals

B denote Masters degree

We have

4,5)

6) We have the probability of selecting a teacher with a masters degree given we selected a female is 2/3