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

Answer:

$P(Invisibility | Female) = \frac{2}{3}$

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine $P(Invisibility | Female)$

This is calculated using the following formula for conditional probability:

$P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}$

From the attached table

$n(Invisibility \& Female) = 32$

$n(Female) = 48$

So, the equation becomes:

$P(Invisibility | Female) = \frac{32}{48}$

Simplify

$P(Invisibility | Female) = \frac{32/16}{48/16}$

$P(Invisibility | Female) = \frac{2}{3}$