Question

an animal is randomly selected from this table. what is the probability that it is a sheep, 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(sheep | male) =? p(b|a) = p(a and b)/p(a)

Explanation:

Step1: Calculate total number of males

Add up the number of male animals of each type. $1 + 3+2 + 5=11$.

Step2: Calculate number of male sheep

The number of male sheep is 3.

Step3: Calculate conditional - probability

Using the formula $P(B|A)=\frac{P(A\ and\ B)}{P(A)}$, in this case, the probability $P(\text{Sheep}|\text{Male})$ is the number of male sheep divided by the total number of male animals. So $P(\text{Sheep}|\text{Male})=\frac{3}{11}$.

Answer:

$\frac{3}{11}$