 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 two events which are mutually exclusive. So let us see the solution. Now if a coin is tossed it can turn up with head that is H or tail that is T. So here three coins are tossed once so sample space will be H 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 that means we can get three heads in the three coins or in the first two coins we can get head in the third coin we can get a tail or in the first coin we can get a head in the second a tail and in third a head and so on. So this becomes the sample space when three coins are tossed. Now we have to tell two events which are mutually exclusive. So let event A B three heads show or we can take it as event A B getting at least two heads. So sample space for the event A will be all the elements in the main sample space that has two or three heads so that will be H H H H, H H T, H T H then we cannot consider this because we need at least two heads and here we have just one head so this will be T H H again this and this and this will not be considered so this is the sample space for the event getting at least two heads. Now let event B be getting at least two tails so sample space for the event B will be all the elements where we have two or three tails this this this this this cannot be considered so we will have these three elements that is T H T, T T H and T T T. Now we see that A intersection B is equal to Phi because in these two sample space no element is common so intersection B is Phi since their intersection is equal to Phi therefore we can say that event A and event B are mutually exclusive so our answer to the question is getting at least two heads and getting at least two tails so I hope that you understood the question and enjoyed the session have a good day