 Hello friends, how are you all doing today? The question says the bag contains 8 red, 3 white and 9 blue balls. If 3 balls are drawn at random, determine the probability that A, all the 3 balls are blue balls, B, all the balls are of different color. Right? So let's proceed with the solution. First of all, we are given that the bag contains 8 red, 3 white and 9 blue balls. So total number of balls are equal to 8 plus 3 plus 9, that is further equal to 20 balls. Right? Now, we need to draw 3 balls at random. Right? So N of S is equal to 20 C3, isn't it? So firstly, we need to find out the probability that 3 balls are blue. So it will be, there are 9 blue balls and we need to select 3 out of that divided by the total number of balls which are in the bag. So we have 9 into 8 into 7 divided by 20 into 19 into 18, which gives us the answer as 7 by 95. Right? So this completes the solution for the first part. Now for the B part we need to find out the probability that all the balls are of different color. So out of 8 red balls we need to select 1, out of 3 white balls again 1, out of 9 blue balls again 1, divided by the total number of balls we need to select. So we have the answer as 8 into 3 into 9 into 3 into 2 into 1 upon 20 into 19 into 18, which is further equal to 18 upon 95. Right? So this is the answer to this last final part of this question. So hope you understood the whole solution well. Do take care of your calculations and have a very nice day.