Question

Lindsey is among 5 of the women who work at a restaurant. There are 13 total employees who work at the restaurant, and 1 person needs to stay for overtime. Find the probability that a male will be chosen for overtime. Convert the fraction to a decimal. Round to three decimal places.

Answer 1

The total number of employees are 13.

Out of the 13 employees, there are 5 women.

Thus, number of men is:

$13-5=8$

The probability of an event, E, is:

$Pr(E)=\frac{number\text{ of favourable outcome}}{\text{Total number of outcome}}$

Thus, the probability that a male will be chosen for overtime is:

$Pr(a\text{ male chosen for overtime)=}\frac{number\text{ of male employ}ees}{\text{Total number of employe}es}$

Hence,

$Pr(a\text{ male chosen for overtime)=}\frac{8}{13}=0.615$