Question 1085166


Let {{{A}}} represent the event that the {{{first}}} student is {{{female}}}
{{{ P(A) = 3/10 = .30}}}

 What about the second student?
Let {{{B }}}represent the event that the {{{second}}} student is {{{female}}}. Because the same student in the first class can be picked again for the second class 
P(B | A) = {{{P(B) = 3/10 = .30}}}

What is the probability that the {{{two}}}{{{ students}}} chosen are {{{female}}}?

Thus, we want to answer the question: what is P(A and B) ? 

P(A and B) = {{{P(A)*P(B) = (3/10)(3/10) = 9/100 = .09}}}

so,there is a {{{9}}}% chance that the replacement professor will choose {{{two}}} {{{female}}} students from his two classes

and your answer is: A. {{{0.09}}}