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A popular film series has produced 21 films of which 15 have been good. A new...

A popular film series has produced 21 films of which 15 have been good. A new film from the series is about to come out, and without any additional information we would assume that the odds it is good is 15 out of 21. Historically, 77.2% of good films have a good trailer and 26.9% of bad films have a good trailer. The new film releases a good trailer. What is the probability that the film is good now?

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