00:01
We can use the bayes theorem to find the conditional probability that p x is greater than 0 given that your x is less than 2.
00:10
Right, we have this.
00:11
So, now see over here p x is greater than 0 given that x is less than 2 is going to be what? this is going to be p x is greater than 0 and you will have over here what? you will have that your x is less than 2.
00:24
And this would be upon what? this would be upon you will have probability that x is less than 2.
00:30
Right, we have this.
00:31
Now see over here what we will have is if you just see the numerator over here directly we can say that your numerator that is i am writing n over here this would be equals to what? this would be equals to probability your x is equals to 1 because only one thing lies between the given condition.
00:46
Right, so now let's find p x 1.
00:48
So, for this we can use the binomial distribution with your n is equals to 2 because there are only two outcomes that you will have from the trial and your p is going to be 0 .5.
00:59
Right, we know this.
01:00
So, therefore your p x is equals to 1 this would be equals to what? this would be equals to 2 c 1 multiplied by 0 .5 to the power 1 multiplied by 0 .5 to the power 1.
01:13
So, now when you solve this you will get that this is equals to 2 by 4 or you can say this is equals to 1 by 2 over here...