00:01
This problem, it is said that we have eight students, three are female, two students are selected at random in succession without replacement.
00:08
Then what is the probability that both students are not female? so let us consider the probability of n1 and n2, where we consider n1 to be the event that the first student is not female, and n2 to be the event that the second student is not female.
00:24
So we want to find the probability of n1 and n2, using the multiplication rule of probability, this will be p of n1 times p of n2 given n1.
00:34
So what is p of n1? that's the number of favorable outcomes divided by the total number of outcomes.
00:39
There are a total of eight students.
00:41
And what will the number of favorable outcomes be? that will be the number of students who are not female.
00:46
So out of eight students, three are female.
00:48
So eight minus three, that's a total of five students who are not female.
00:52
Then we have p of n2 given n1...