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The feature space consists of three possible points (events) A, B, C, which occur with probability 0.1, 0.4, 0.5, respectively. For each event there are

The feature space consists of three possible points (events) A, B, C, which occur with probability 0.1, 0.4, 0.5, respectively. For each
event there are two possible labels +1 or 1, which happen with probability 0.9, 0.3 and 0.8 respectively (that is, P(1|A) = 0.9, P(1|B) = 0.3, etc.).
A) Determine the Bayes optimal classifier.
B) What is the expected loss of the Bayes optimal classifier?

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