Question 1: Consider an experiment composed of throwing a die followed by throwing a coin. a. List the simple events and assign a probability for each simple event. b. What are the probabilities of observing the following events? A:(2on the die, H on the coin} B:{Even number on the die, T on the coin} C:{Even number on the die] D: {T on the coin} Question 2: Through some examples and detailed explanation explain one of the Theorems on Finite Probability Spaces. Question 3: Given a fair of a die: Let A be the event that the outcome is an odd number, i.e., A={1,3,5}. Let B be the event that the outcome is less than or equal to 3, i.e., B={1,2,3}. a. What is the probability of A, P(A)? b. What is the probability of A given B, P(A|B)