A class is made up of 3 boys and 12 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?Write your answer as a fraction in simplest form.
Question
A class is made up of 3 boys and 12 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?Write your answer as a fraction in simplest form.
Solution
Sure, let's break this down:
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First, let's find the total number of students in the class. We know there are 3 boys and 12 girls, so the total number of students is 3 + 12 = 15.
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We know that half of the girls wear glasses. Since there are 12 girls, the number of girls who wear glasses is 12 / 2 = 6.
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The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is selecting a girl with glasses, and the total number of outcomes is the total number of students.
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Therefore, the probability that the student selected is a girl with glasses is 6 (girls with glasses) divided by 15 (total students), which simplifies to 2/5.
So, the probability that the student is a girl with glasses is 2/5.
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