Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = P(A2) = 0.3. Suppose that 1 10 of A1 observations support the Standard Model, 1 2 of A2 observations support the Standard Model, and 2 5 of A3 observations support the Standard Model. Given that an observation does not support the Standard Model, calculate the probability that it is classified in A3.

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