Question

Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female

Answer 1

`P(Invisibility | Female) = (2)/(3)`

Explanation:

Given

See attachment for two-way table

Required

Determine
`P(Invisibility | Female)`

This is calculated using the following formula for conditional probability:

`P(Invisibility | Female) = (n(Invisibility \& Female))/(n(Female))`

From the attached table

`n(Invisibility \& Female) = 32`

`n(Female) = 48`

So, the equation becomes:

`P(Invisibility | Female) = (32)/(48)`

Simplify

`P(Invisibility | Female) = (32/16)/(48/16)`

`P(Invisibility | Female) = (2)/(3)`