Construct the sample space for a probability experiment where a coin is flipped, and then a 10-sided die is rolled.(H1, H2, H3, H4, H5, H6, H7, H8, H9, H10, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10)This setup was used for a carnival game, and different amounts paid out for certain outcomes.Find the probability of each outcome:(a) There was a head on the coin and an odd number on the die.(b) There was a head on the coin and a prime number on the die.(c) There was a head on the coin and a number less than on the die.Write your answers in exact, simplified form.