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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (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)=7%2F9

Answer: Probability of choosing a male is 7%2F9 given the first one is a female