4. When you toss a fair six-faced die two times many outcomes can happen: a) Determine the number of possible outcomes in the sample space. Explain your answer. b) Calculate the probability that you get a number greater than 5 at the first toss. Show work and write the answer in the simplest fraction form. c) Calculate the probability that the sum of the two tosses is at lest 7. Show work and write the answer in the simplest fraction form. d) Calculate the probability that the sum of the two tosses is at least 7, given that you get a number greater than 2 in the first toss. Show work and write the answer in the simplest fraction form. e) If event A is "Getting a number greater than 4 in the first toss", and event B is "The sum of two tosses is at least 8". Are event A and event B independent. Justify your answer.