 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says two dies are thrown. The events A, B and C are as follows. Event A is getting an even number on the first die. Event B is getting an odd number on the first die and C is getting the sum of the numbers on the die less than equal to 5. Now describe the event not B. So let us start with the solution to this question. First of all we see that event B is getting an odd number on the first die. So first of all we write down the sample space for the event two dies are thrown. Then we write down the sample space for the event B. So we see that this is the sample space for event when two dies are thrown. So this is what we have. Now this 1, 1, 1, 2 and so on till 1, 6. 2, 1, 2, 2 till 2, 6. Then we have 5, 1, 5, 2 till 5, 6 and 6, 1, 6, 2, 2, 6, 6. Now event B was given to us as getting an odd number on the first die. So here we have odd number on the first die. This is the sample space for event B. Now we have to find out the sample space for event B dash that is complement of B that is event not B. This is the same as event not B. This we can get by subtracting event B from the sample space. So this is the sample space that we get for event B dash or event not B that is 2, 1, 2, 2, 2, 3 till 2, 6, 4, 1, 4, 2 till 4, 6, 6, 1, 6, 2 till 6, 6. Now here we notice that this is the sample space same as the sample space for event A that is getting an even number on the first die because in all these sample points we see that the first on the first die we are getting an even number. So this is same as the event A. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.