Respuesta :
Answer:
[tex]\frac{34}{47}[/tex]
Step-by-step explanation:
GIVEN: The mathematics department of a college has [tex]13[/tex] male professors, [tex]10[/tex] female professors, [tex]11[/tex] male teaching assistants, and [tex]13[/tex] female teaching assistants.
TO FIND: If a person is selected at random from the group, find the probability that the selected person is a professor or a male.
SOLUTION:
Total employees in mathematics department [tex]=47[/tex]
Total males in mathematics department [tex]=24[/tex]
Probability that selected person is a male [tex]=\frac{24}{47}[/tex]
Total professor (male+female) [tex]=23[/tex]
Probability that selected person is professor [tex]=\frac{23}{47}[/tex]
Total male professor [tex]=13[/tex]
Probability that selected person is a male professor [tex]=\frac{13}{47}[/tex]
Probability that selected person is a professor or a male[tex]=\frac{24}{47}+\frac{23}{47}-\frac{13}{47}[/tex]
[tex]=\frac{34}{47}[/tex]
Hence probability that selected person is a professor or a male is [tex]\frac{34}{47}[/tex]
