The Pittsburgh Pirates play the St. Louis Cardinals on April 1, 2019 (see here for more info). Let's say the probability of the Pirates winning this game is PP. Then we define the Go Pirates Metric by the function

f(P)=ln⁡(P)−ln⁡(1−P)f(P) = \ln(P) - \ln(1 - P)

where we assume 0<P<1.0 < P < 1. For which values of PP is f(P)f(P) negative?

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