Question

What it the probability that you randomly select a person who is both a male andbrown headed? *Bal ColorBrom Blonde RedMale348Female 612 716 66Your answer

Answer 1

The probability of an event e occurring is given as :

`P(e)\text{ = }\frac{Number\text{ of possible outcomes of e}}{Total\text{ number of outcomes (Sample space)}}`

From the data provided, we have:

`\begin{gathered} \text{Number of males = 1506} \\ \text{Number of brown heads = 1160} \\ \text{Sample space = 2900} \end{gathered}`

The probability of selecting a male and a brown-headed is :

`\begin{gathered} P(\text{male and brown-headed) = }(1506)/(2900)\text{ }*(1160)/(2900) \\ =\text{ }(174696)/(841000) \\ =\text{ 0.208} \end{gathered}`

The answer : 0.208