 Hello and how are you all there? The question says in each of the following exercises 1 to 7 describe sample space for the indicated experiment. Now here the experiment which is given to us is a coin is tossed four times. Now we know that when we toss a coin there is a possibility that we can get either head or tail. So the sample space that is s can be starting from there is a possibility that in all the four throws we will obtain all the heads and then three head and one tail. Now this can happen in several combinations that is in the first three throws we can have head and then we will obtain a tail or head, head, tail, head or we can have head, tail, head, head or tail then three times head. Now again there is a possibility that we can have two times head and two times tail so it can be H, H, T H, H, T, T then it can be H, T, H, T or H, T, T, H or we can have T, H, H, T right or it can be T, H, T, H now here we have one more combination also that can be T, T, H, H now only one time head it can be H, T, T, T then it can be T, H, T, T then T, T, H, T T, T, T, H and lastly in all the four throws we can obtain a tail so this is the required sample space when we toss a coin four times right so this ends the session hope you enjoyed and understood it have a nice day