Honor Roll

Probability Level 2

There are 300 students in a middle school. Every 19 in 50 students qualifies for honor roll. However, the school can give honor roll to only 75 students. There will be a lottery to choose the 75 students. What is the probability that you will be in and lose the lottery? (Don't include the percent sign)


The answer is 13.

Alkiviades Boukas by Alkiviades Boukas , 19, USA

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2 solutions

Paulo Filho
Jun 1, 2016

I think the problem should be stated more clearly. I first interpreted that the probability would not take into account the 19/50 part.

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Alkiviades Boukas
Dec 28, 2015

To start off, you must first see how many students qualify for honor roll in total. 19/50 qualify, so in total 114/300 qualify. That is 38% of the students. Then, if you subtract 75/300 (the amount that will win the lottery) from 114/300 (the total number of students in the lottery), you will end up with 39/300. That converts to 13/100 and is 13%. So 13% is the percentage of students that will get in the lottery, but fail to get honor roll.

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Ha. Got it.

Xiaoying Qin - 5 years, 5 months ago

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