Question

an animal is randomly selected from this table. what is the probability that it is a female, given that it is a chicken? animals on a farm cattle sheep chicken pig male 1 3 2 5 female 5 2 13 3 p(female | chicken) = ? p(b|a) = \frac{p(a and b)}{p(a)}

Explanation:

Step1: Find the number of female chickens

From the table, the number of female chickens is \(13\).

Step2: Find the total number of chickens

The number of male chickens is \(2\) and female chickens is \(13\). So total number of chickens \(=2 + 13=15\).

Step3: Calculate the probability

Using the formula \(P(\text{Female}|\text{Chicken})=\frac{\text{Number of female chickens}}{\text{Total number of chickens}}\)
\(P(\text{Female}|\text{Chicken})=\frac{13}{15}\)

Answer:

\(\frac{13}{15}\)