1.The sample space, S, is {1,2, 3, 4, 5, 6}. A = { the outcome is even} B = { the outcome is greater than 3 } List outcomes in A, B, A', AB, AB. Suppose the die is loaded so that the probability of an outcome is proportional to the outcome, i.e. Р(1)= р, Р(2)=2 р, Р(3)=3 р, Р(4)=D4 р, Р(5)=D5 р, Р(6) 36 р. Find the value of p that would make this a valid probability model. Find the probabilities P(A), P(B), P(A'), P(AOB), P(AUUB).

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