Respuesta :
Use the following probability property:
[tex]P(A or B) = P(A) + P(B) - P(A and B)[/tex]
Where A is person is a professor.
B is person is male.
Total number in group = 44
Total number of professors = 19
Total number that are male = 25
Number that are BOTH male and a professor = 12
[tex]P = \frac{19}{44} + \frac{25}{44} - \frac{12}{44} = \frac{32}{44} = \frac{8}{11} [/tex]
[tex]P(A or B) = P(A) + P(B) - P(A and B)[/tex]
Where A is person is a professor.
B is person is male.
Total number in group = 44
Total number of professors = 19
Total number that are male = 25
Number that are BOTH male and a professor = 12
[tex]P = \frac{19}{44} + \frac{25}{44} - \frac{12}{44} = \frac{32}{44} = \frac{8}{11} [/tex]