If one of the subjects is randomly selected find the probability that the person is over 40 years of age given that they drink root beer.

If one of the subjects is randomly selected find the probability that the person is over 40 years of age given that they drink root beer class=


Answer :

The probability of the event to occur is:

[tex]P(E)=\frac{\#\text{ of outcomes at which the event occurs}}{To\text{tal number of outcomes}}[/tex]

The number of outcomes at which the person is over 40 years of age and drink root beer is: 30

The total number of outcomes is: 40+35+20+25+20+30+20+30+25=255

The probability is then:

[tex]\begin{gathered} P(E)=\frac{30}{255} \\ \text{Simplify dividing by 15 the numerator and the denominator:} \\ P(E)=\frac{30/15}{255/15}=\frac{2}{17} \end{gathered}[/tex]