00:01
In this question, we're given a fair six -sided die is rolled twice and x is the minimum value to appear in the two rows.
00:09
We want to find the expectation of x.
00:11
So let's draw the table here.
00:13
The first row, the possible outcome is 1, 2, 3, 4, 5, 6 and the second row is here.
00:23
Possible outcome is 1, 2, 3, 4, 5, 6.
00:27
In this cell here, it would be the minimum of the two rows and there'll be one.
00:35
In this cell here, it'll be the minimum of the two rows and there'll be one.
00:40
So you can see that it will be like this and in this column here, it will be the minimum row of the first row and the second row, the minimum number and that would be this.
00:57
Okay, over here will be the minimum number that appears in the two rows.
01:02
Between 2, 2 and that will be 2.
01:04
Between 3, 2 and that'll be 2.
01:06
So you can see actually the whole row will be 2.
01:08
Column here, the minimum will be 2 among the two rows and so that will be just like this.
01:19
Okay, over here, minimum between the two rows 3, 3 and that will be 3.
01:26
Over here, between 4 and 3 will be 3.
01:31
So you can see it goes like this and here will be 4, 4.
01:37
Here is 5, 5 and here will be 6...
