SOLUTION: A graduate course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project. -What is the probability

Question 942444: A graduate course has seven male and three female students. The professor wants to select two students at random to help her conduct a research project.
-What is the probability that the second student chosen is a male given the first one chosen is a female?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Given:
7 male and 3 female students
Choose 2 students given the first one is female.

Solution:
Since the first one is a female, the first choice had been made.
We are left with 7 males and 2 females from whom to choose.
Probability of choosing a male is therefore 7 males out of the remaining 9 students, or
P(M)=

Answer: Probability of choosing a male is given the first one is a female
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