Answer:
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment for two-way table
Required
Determine [tex]P(Invisibility | Female)[/tex]
This is calculated using the following formula for conditional probability:
[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]
From the attached table
[tex]n(Invisibility \& Female) = 32[/tex]
[tex]n(Female) = 48[/tex]
So, the equation becomes:
[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]
Simplify
[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
