Probabilities are used to determine chances and popularity of an event. Here, we want to determine which event is more popular among the students and the teachers
Pirates is more popular with the students, while moose is more popular with the teachers
For the students, we have:
[tex]Moose = 15[/tex]
[tex]Pirate = 75[/tex]
[tex]Total = 90[/tex]
The popularity of pirate and moose among the students is calculated using probabilities.
[tex]Pr (Moose) =\frac{Moose}{Total}[/tex]
[tex]Pr (Moose) =\frac{15}{90}[/tex]
[tex]Pr (Moose) =16.67\%[/tex]
[tex]Pr (Pirate) =\frac{Pirate}{Total}[/tex]
[tex]Pr (Pirate) =\frac{75}{90}[/tex]
[tex]Pr (Pirate) =83.33\%[/tex]
For the teachers, we have:
[tex]Moose = 15[/tex]
[tex]Pirate = 5[/tex]
[tex]Total = 20[/tex]
The popularity of pirate and moose among the teachers is calculated using probabilities.
[tex]Pr (Moose) =\frac{Moose}{Total}[/tex]
[tex]Pr (Moose) =\frac{15}{20}[/tex]
[tex]Pr (Moose) =75.00\%[/tex]
[tex]Pr (Pirate) =\frac{Pirate}{Total}[/tex]
[tex]Pr (Pirate) =\frac{5}{20}[/tex]
[tex]Pr (Pirate) =25.00\%[/tex]
So, we have:
Students
[tex]Pr (Moose) =16.67\%[/tex]
[tex]Pr (Pirate) =83.33\%[/tex]
By comparing the above values, we can conclude that pirates is more popular with the students
Teachers
[tex]Pr (Moose) =75.00\%[/tex]
[tex]Pr (Pirate) =25.00\%[/tex]
By comparing the above values, we can conclude that moose is more popular with the teachers
Hence, option (b) is correct;
Read more about probabilities at:
brainly.com/question/13957582
