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
female	5	2	13	3

p(sheep | male) =
p(b|a) = \frac{p(a and b)}{p(a)}

Explanation:

Step1: Calculate total male animals

$1 + 3+2 + 5=11$

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, $P(\text{Sheep}|\text{Male})=\frac{\text{Number of male sheep}}{\text{Total number of male animals}}=\frac{3}{11}$

Answer:

$\frac{3}{11}$