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A stock analyst would like to estimate company ABC's earnings in next quarter. Based on the research, the analyst has the following probabilities about the earnings: P(earnings increase) = 0.45 P(earnings no change) = 0.30 P(earnings decrease)= 0.25 The next week, company ABC announces a new model of an existing product developed by the company. The analyst believes this new model will boost the company's sales and subsequently updates the probabilities as below: P(new model | earnings increase) = 0.65 P(new model | earnings no change) = 0.25 P(new model | earnings decrease)= 0.10 Apply Bayes' formula, what is the probability of earnings increase given that the new model is launched? Choose the closest number