There are 20 students in a class. Six of them have blue eyes and nine have brown eyes. You were asked to choose 2 students without replacement. What is the probability of choosing an student with blue eyes followed by a student with brown eyes?

Answer 1

Step 1
initially there are 20 students of which 6 have blue eyes.
Probability of choosing the first with blue eyes is 6/20.
Step 2
There are then 19 students left of which 9 have brown eyes.
Then the probability of choosing a brown eyed student is 9/19.
Since it is a two-step experiment, the probability of succeeding both steps is the product of the two probabilities:
6/20*9/19=27/190