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