 Hello and welcome to the session. My name is Asha and I am going to help you with the following question that says an experiment consists of tossing a coin and then throwing it second time if a head occurs, if a tail occurs on the first toss then a die is rolled once. So let's start with the solution and when a coin is tossed possible outcomes are either head or tail. Let us denote the head by edge and tail by T. When a die is rolled possible outcomes are 1, 2, 3, 4, 5 and 6. Now a coin is given to us this tossed then the possible outcomes are either head or tail. Then the question further says if it turns up with head then again a coin is tossed suppose head appears then again the coin is tossed and we get either head or tail and if it turns up with tail then a die is rolled and the possible outcomes of a die are 1, 2, 3, 4, 5 and 6. The possible outcomes are 1, 2, 3, 4, 5 and 6. Therefore this experiment consists of 8 sample points 1, 2, 3, 4, 5, 6, 7 and 8. The first sample point is H H, second is H T then we have T 1, T 2, T 3, T 4, T 5 and then T 6. So let's now write down the sample space having these sample points. It is equal to H H, H T, T 1, T 2, T 3, T 4, T 5 and T 6. So this is the required sample space for the given experiment. Hope you have understood it. Take care and have a good day.