point possible (graded, results hidden) Find PF (E1 ). Enter your answer in the box below. Give your answer using two decimal places. Submit i point possible (graded, results hidden) Find Pr ( E2 ). Enter your answer in the box below. Give your answer using two decimal places. 7 point possible (graded, results hidden) Find PT ( A |E1 ). Enter your answer in the box below. Give your answer using two decimal places.submit point possible (graded, results hidden) Find Pr (A )E1 ). Enter your answer in the box below. Give your answer using two decimal places. submit 4 1 point possible (graded, results hidden) Use the law of total probability to write Pr(A) as a function of Pr (A | E; ), j=1,2,3. We can argue that Pr ( A | E2 ) - Pr (A) since under E2 the game starts over again in the 2nd round (no need to show). Substituting Pr (A | E2 ) - Pr (A) in the law of total probability, the equation can be solved for Pr(A). Find Pr(A). Enter your answer in the box below. Give your answer using two decimal places.Problem 1 Bookmark this page Quiz due Feb 10, 2022 05:01 CST A, B and C roll dice. They use fair dice. That is, with probability = for any of the 6 sides coming up. A starts by rolling a die, then B rolls a die, then C rolls a die. If nobody wins during the first round (i.e., A, B and C rolling the die the first time), then the game starts over again: A rolls, then B, and so on. The winner of the game is the first one to get a 6". Let A = "A wins" denote the event that A wins, B= B wins" and C= "C wins". Let E, = A wins in first round.", E. = nobody wins in the first round", and Es = B or C win in the first round". Hint: some of the questions (and probabilities) below might seem obvious. They are included in preparation for a later question. 1 point possible (graded, results hidden) Find Pr ( E1 ). Enter your answer in the box below. Give your an