an animal is randomly selected from this table. what is the probability that it is a male, given that it is…

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

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

Answer

Answer:

$\frac{1}{6}$

Explanation:

Step1: Identify relevant values

Number of male cattle = 1, total number of cattle = 1 + 5 = 6

Step2: Apply conditional - probability formula

$P(\text{Male}|\text{Cattle})=\frac{\text{Number of male cattle}}{\text{Total number of cattle}}=\frac{1}{6}$