COMP 2804-You are given three dice D1, D2, and D3
Question:You are given three dice D1, D2, and D3:Die D1 has 0 on two of its faces and 1 on the other four faces.Die D2 has 0 on all six faces.Die D3 has 1 on all six faces.You throw these three dice in a box so that they end up at uniformly random orientations.You pick a uniformly random die in the box and observe that it has 0 on its top face. Usethe formal definition of conditional probability to determine the probability that the die thatyou picked is D1.Hint: You want to determine Pr(A | B), where A is the event that you pick D1 and B is theevent that you see a 0 on the top face of the die that you picked. There are different waysto define the sample space S. One way is to takeS = {(D1, 0), (D1, 1); (D2, 0), (D3, 1)g;where, for example, (D1, 1) is the outcome in which you observe 1 on top of die D1.Note that this is not a uniform probability space.
