The probability of an event e occurring is given as :
[tex]P(e)\text{ = }\frac{Number\text{ of possible outcomes of e}}{Total\text{ number of outcomes (Sample space)}}[/tex]
From the data provided, we have:
[tex]\begin{gathered} \text{Number of males = 1506} \\ \text{Number of brown heads = 1160} \\ \text{Sample space = 2900} \end{gathered}[/tex]
The probability of selecting a male and a brown-headed is :
[tex]\begin{gathered} P(\text{male and brown-headed) = }\frac{1506}{2900}\text{ }\times\frac{1160}{2900} \\ =\text{ }\frac{174696}{841000} \\ =\text{ 0.208} \end{gathered}[/tex]
The answer : 0.208
