 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says three coins are tossed, describe three events which are mutually exclusive and exhaustive. So, let us see the solution. First of all, we see the sample space when three coins are tossed. So, sample space will be H H H, H H T, H T H, H T T, T H H, T H T, T T H and T T T. Now this we can get three heads on three coins or in the first two coins we can have heads, in the third coin we can have a tail and so on. H denotes heads and T denotes tails. First of all, let A be the event of getting no heads. So, the sample space for the event A will be all those elements where we do not have any heads that is just one that is T T T. Let B be the event of getting exactly one head. So, sample space for the event B will be all the elements where we have just one head that will be this and this and this that will be H T T, T H T and T T H. Next, let C be the event of getting at least two heads. So, the sample space for C will be for the event C will be H H H, H H T, H T H, T H H that is this. Now we have to show that they are mutually exclusive. We see that A intersection B, intersection C is equal to phi. That means we have nothing common in these three events. Therefore, they are mutually exclusive. Now we have to show that they are mutually exhaustive. We see that since A union B union C is equal to the sample space therefore they are mutually exhaustive. So, we see that whenever we have events such that their intersection is equal to phi then they are mutually exclusive. Since we see that in three of the events no element is common therefore thus this will be equal to phi and they will be mutually exclusive. We also see that A union B union C that means when we combine these three events we get the main sample space. So, in such conditions we say that they are mutually exhaustive. So, our answer to the question is getting no heads, getting exactly one head and getting at least two heads. So, this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.