Question 1. An unfair die is tossed. Determine which of the following assignments could be made for the probabilities of each simple outcome. If an assignment cannot be made, tell why. (a) P0.) = 0.3,P(2) = 0.2,P(3) = 0.3,P(4) = 0.1,P(5) = 0.3,P(6) = 0.4 (b)P(1) = 0,P(2) = 0.2,P(3) = O.3,P(4) = 0.1,P(5) = 0.5,P(6) = 0.1 (c) 13(1) = 0.1,P(2) = 0.2,P(3) = 0.3.1301) = 0.1,P(5) = 01,1303) = 0.2 Question 2. If we roll a fair die twice, (a) What is the sample space? (b) what is the probability that the total sum is 5? (Write the event as well) (c) what is the probability that the total sum is less than 5? (Write the event as well) (cl) What is the probability of obtaining two even numbers? (Write the event as well) (e) what is the probability that the total sum is more than 12? (Write the event as well)