Let s a b c be a sample space suppose p is a probability

Let S = {a, b, c} be a sample space.

(a) Suppose P is a probability on S and that you know P({a}) = 0.2 and P({a, b}) = 0.5 Then what are P({b}) and P({c})? Explain how you know.

(b) Is it possible to have a probability on S such that P({a}) = 0.4, P({b}) = 0.5, and P({c}) = 0.2? Explain your answer

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