00:01
Hello.
00:03
So let's start up with the probability of getting one.
00:13
That's going to be three times the probability of rolling.
00:27
So this is an unfair die, right? so the time the probability of rolling at any other value.
00:43
And so that probability is going to be 3 over 8.
00:52
Okay, so you might be wondering why is 3.
00:55
I mean, it's 8.
00:56
Now, it is 8 because 1 has 3 times possibility, which is going to increase the denominator by 2.
01:03
Because this would have been just, you know, 3 over 6, right? but the 1 has 3 times probability.
01:12
So we need to increase the denominator by 2 because the 3 times, right? and we have only, we already have 1 in the 6 times.
01:22
Two more so that's going to be 8 because by default it should have a 6 right but we have an extra 2 which means that 1 3 times so we need the denominator to be 8 so we got that so once you have this you cannot draw our table this is x this is the probability of x equals x so we got 1 2 3 4 5 6 this is 3 over 8 this is 3 over 8 this is 1 over 8 it's also 1 over 8 over 8 over 8 1 over 8 so you see why it has to be 3 over 8 because then when you add everything up you're going to get 1 so now let's look at the graph so let me get my x -axis and that is my probability is 8 is 3 on 8 the x -axis we got 1 2 two, three, four, five, one more, six, right? and so for one, one has a probability of three point eight, right? so we just draw some here.
03:38
Okay, two has a probability of one point eight.
03:45
In fact, the rest have the same probability.
04:02
So with this we can get a cdf.
04:04
So let's get a cdf.
04:09
It's going to be x less than a let me quote you.
04:32
Right.
04:37
So 1, 2, 3, 4, 5, 6.
04:45
So this is the cdf...