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Suppose that the probability that the NASDAQ return is negative in a given day is 48.5%. Additionally, the probability that the DJIA (Dow Jones Industrial Average) return is positive given that the NASDAQ return is positive is 79.2%, while the probability that the DJIA return is negative given that the NASDAQ return is negative is 80.4%. Knowing that the DJIA return in a given day is negative, what is the probability that the NASDAQ return for that same day is also negative?

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