Question

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

Explanation:

Step1: Calculate the number of male animals

Add up the number of male animals: \(1 + 3+2 + 5=11\)

Step2: Find the number of male chickens

From the table, the number of male chickens is \(2\)

Step3: Apply the conditional - probability formula

Using \(P(B|A)=\frac{P(A\cap B)}{P(A)}\), here \(A\) is the event of being male and \(B\) is the event of being a chicken. So \(P(\text{Chicken}|\text{Male})=\frac{\text{Number of male chickens}}{\text{Number of male animals}}=\frac{2}{11}\)

Answer:

\(\frac{2}{11}\)