Among Vulcans, there is a trait known as Sehlat Fangus Magma; Vulcans with this

Question

 Among Vulcans, there is a trait known as Sehlat Fangus Magma; Vulcans with this trait enjoy petting large Sehlats. Note that Sehlats are like live Teddy Bears with fangs.  Those who don't have Sehlat Fangus Magma prefer petting small Sehlats.  As a research geneticist, you perform a study with a sample size of 73 subjects.  The breakdown of individuals by phenotypes is as follows:   19     individuals are   male and        have Sehlat Fangus Magma;   6      individuals are female and        have Sehlat Fangus Magma;   23     individuals are   male and do not have Sehlat Fangus Magma;   25     individuals are female and do not have Sehlat Fangus Magma.  Question A. What is the probability a Vulcan has Sehlat Fangus Magma?  Question B. What is the probability a Vulcan has Sehlat Fangus Magma and is male?  Question C. What is the probability a Vulcan is male given that he has Sehlat Fangus Magma?

Explanation / Answer

Probability = Occurance of a chance / occurance of all chances.

Question A. What is the probability a Vulcan has Sehlat Fangus Magma?

Occurance of a chance here is 19+6 = 25 and

occurance of all chances = 73

probability a Vulcan has Sehlat Fangus Magma = 19+6/ 73 = 25/73

Question B. What is the probability a Vulcan has Sehlat Fangus Magma
and is male?

Occurance of a chance here is 19 and

occurance of all chances = 73

probability a Vulcan has Sehlat Fangus Magma and is male = 19/73

Question C. What is the probability a Vulcan is male given that he has Sehlat Fangus Magma?

Occurance of a chance here is 19 and

occurance of all chances = 25

probability a Vulcan is male given that he has Sehlat Fangus Magma = 19/25

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