Question

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

Explanation:

Step1: Find the number of male pigs

From the table, the number of male pigs is \(5\).

Step2: Find the total number of pigs

The total number of pigs is \(5 + 3=8\).

Step3: Calculate the conditional probability

Using the formula \(P(\text{Male}|\text{Pig})=\frac{\text{Number of male pigs}}{\text{Total number of pigs}}\), we substitute the values. So \(P(\text{Male}|\text{Pig})=\frac{5}{8}\).

Answer:

\(\frac{5}{8}\)