Question

A class is made up of 6 boys and 8 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answer 1

Answer:

$\frac{4}{14}=\frac{2}{7} =28.57%$

Step-by-step explanation:

In order to calculate a probability we first need to know the total possible outcomes, so the total is boys plus the girls, 6+8=14, we have a total of 14 students, and we need the total number of successfull outcomes, which is half of the girls, 4 girls use glasses.

So the probability is:

$Probability=\frac{Successull outcomes}{Total possible outcomes}$

$Probability=\frac{4}{14} \\Probability=\frac{2}{7} \\Probability=.2857=28.57%$

So the probability is 28.57% that if you pick a student at random you will pick a girl with glasses.

Answer 2

If half the girls wear glasses, then 8/2 or 4 girls wear glasses.
The whole class is 8+6 or 14 kids.
The probability is the number of girls wearing glasses over the total people in the whole class.

Number of girls wearing glasses/ Total people in class

4/14
Simplify= 2/7

Hope this helps :)