00:01
A student has access to professor evaluations.
00:04
Overall, he has enjoyed 70 % of all the classes he has taken.
00:08
So that's what i've notated here.
00:10
He finds that of the courses he has enjoyed, 13 were taught by professors with poor evaluations.
00:16
That's what i have here.
00:18
84 % of the courses he's taken were taught by professors with good evaluations.
00:23
So that's what i have here.
00:24
What is the probability that the class was taught by a professor with a poor evaluation and that the student enjoyed the class.
00:33
So what we need to do here is we need to just follow the trail.
00:37
He enjoyed the class, and it was a good, poor evaluation.
00:42
So we're going to take the 70%, which i'm going to change to a decimal, and we're going to take 13 % and multiply it.
00:49
Notice i changed them both to decimals.
00:51
So that's going to be 0 .91.
00:58
0 .991.
00:59
Watch my decimals there.
01:00
Sorry about that...