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
female	5	2	13	3

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

Explanation:

Step1: Find number of male animals

Add up male animals of all types: $1 + 3+2 + 5=11$.

Step2: Find number of male chickens

From the table, number of male chickens is 2.

Step3: Calculate conditional probability

Using the formula $P(B|A)=\frac{P(A\ and\ B)}{P(A)}$, in terms of counts, $P(\text{Chicken}|\text{Male})=\frac{\text{Number of male chickens}}{\text{Number of male animals}}=\frac{2}{11}$.

Answer:

$\frac{2}{11}$