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Bay's Theorem: Smpking Cigar

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In a county, 53% of adults are male. One adult is randomly selected for a survey involving credit card usage.

1) find the prior probability that the selected person is a female?
P (female) = ______ (integer or decimal)

2) It is later learned that the selected survey subject was smoking a cigar. Also, 8.7% of males smoke cigars, whereas 1.9% of females some cigars. Use this additional information to find the probability that the selected subject is female?
P(female|cigar) = ______ (round to three decimal places if needed)

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The solution provides step by step method for the calculation of probability using bays theorem. Formula for the calculation and Interpretations of the results are also included.

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In a country, 53% of adults are male. One adult is randomly selected for a survey involving credit card usage.

1) Find the prior probability that the selected person is a female?
P ...

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