Question

In a high school, 28% of the school’s population is seventeen years old. Of the students who are seventeen years old, 44% play a sport. One student at the high school is chosen at random to represent the school at a community event. What is the probability that the selected student will be seventeen years old and not play a sport?A) 18.48%B) 15.68%C) 12.32%D) 4.76%

Answer 1

In the high school

Percentage of children who are 17 years old is 28%

Out of the 28% , 44% studnets play sport

So,

Percentage of studnets who donot play sport = 100%-44% = 56%

Now Probability of selection student who donot play sport and is seventeen years old is the product of the percantage probability of seventeen years student and the student who donot play sport divide by 100

`\begin{gathered} \text{ Probability=}(56*28)/(100) \\ \text{Probability}=15.68\text{ Percantage} \end{gathered}`

Answer : B) 15.68%