Question: 2. (10 points) Consider a random experiment with sample space $ = {1, 2, 3, 4} and a probability measure that satisfies the following equations:

2. (10 points) Consider a random experiment with sample space $ = {1, 2, 3, 4} and a probability measure that satisfies the following equations: . P(1}) = P(13}) . P(12}) = P(14}) . P({Outcome is odd}) = = P({Outcome is even} ) Using the above information, calculate the following probabilities: (a) P({Outcome is even} ) (b) P({1, 2})

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