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In a middle school with 300 students, there are 40% boys, 1/3 of the students wear glasses, and 15% of the girls wear glasses. What is the probability (= how many percent is it) that a randomly selected student does not wears glasses? (Round the percentage to the nearest hundredth) *

Respuesta :

We know that

• There are 300 students.

,

• 40% are boys (this means 60% are girls).

,

• 1/3 of the students wear glasses.

If 1/3 of the students wear glasses, then 2/3 of the students don't wear glasses. Let's find 2/3 of 300.

[tex]\frac{2}{3}\cdot300=\frac{600}{3}=200[/tex]

Therefore, 200 students don't wear glasses.

Then, we divide to find the probability.

[tex]P=\frac{200}{300}=0.6667[/tex]

Then, we multiply by 100.

[tex]0.6667\cdot100=66.67[/tex]

Therefore, the probability is 66.67%.

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