00:01
In this case, x can take value 0, 1, 2, 3 and y can take value 0, 1, 2, 3.
00:09
Let's define the pairs where x greater than y.
00:13
So the first one, when x equal to 1 and y equal to 0 is such that p of x equal to 1, y equal to 0 which is equal to f of 1, 0.
00:26
Similarly, x equal to 2, y equal to 0 is denoted as f of 2, 0.
00:34
Then third one, x equal to 2, y equal to 1 is f of 2, 1 and x equal to 3, y equal to 0 is f of 3, 0.
00:46
And the fifth one, x equal to 3 and y equal to 1 is f of 3, 1.
00:53
And the sixth one, x equal to 3 and y equal to 2 is f of 3, 2.
01:00
So when we calculate p of x greater than y, p of x greater than y equal to p of x equal to 1, y equal to 0 plus p of x equal to 2, y equal to 0 plus p of x equal to 2, y equal to 1 plus p of x equal to 3, y equal to 0 plus p of x equal to 3, y equal to 1 plus p of x equal to 3 and y equal to 2.
01:33
And similarly, we can find p of x plus y equal to 4 by assuming this probability...