 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says refer to question 6 above. Stay true or false. Give reason for your answer. First is A and B are mutually exclusive. Now for A and B to be mutually exclusive we need that A intersection B should be equal to 5 and we have seen in question number 6 above that A intersection B was equal to 5. So this statement is true. So our answer to first part of the question is true. Now second part is A and B are mutually exclusive and exhaustive. We have just seen that A and B are mutually exclusive. Now we see that they would have been mutually exhaustive. If A intersection B would have been or A union B would have been equal to the sample set S and we have just seen in question number 6 that A union B was equal to the sample space. So our answer to second part of the question is also true that A and B are mutually exclusive and exhaustive. Now third statement is A is equal to B complement. Now we see that the event A was getting an even number on the first die. Event B was getting an odd number on the first die. So if B is getting an odd number on the first die then complement of B would be getting an even number on the first die that is same as the event A. So our answer to third part is true. Now the fourth statement is A and C are mutually exclusive. Now for A and C to be mutually exclusive we should have A intersection C should be equal to Phi but we have seen that A intersection C is not equal to Phi because they have some sample points common in them. So our answer to this part is false. Now fifth is A and B dash are mutually exclusive. Since we have seen that A is equal to B dash that is A same as B complement. So A and B complement they cannot be mutually exclusive because all the sample points of A will be the sample points of B dash also. So our answer to this part is false. And the last statement is A dash B dash C that means A complement, B complement and C are mutually exclusive and exhaustive. Our answer to this part is false. They are not mutually exclusive and exhaustive because we see that A complement is equal to B or we can simply say that because A complement intersection B complement intersection C this is not equal to Phi and A complement union B complement union C is not equal to the sample space. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.