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06 Jan 2023, 06:54
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B
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Of the students at a certain business school, 60% are first-year students and 40% are second-year students. Of the first-year students, 50% are receiving some form of financial aid. Of the second-year students, 25% are receiving some form of financial aid. If a student is chosen at random, what is the probability that he or she is receiving some form of financial aid?
A. 1/2
B. 2/5
C. 1/3
D. 3/10
E. 1/10
A. 1/2
B. 2/5
C. 1/3
D. 3/10
E. 1/10
06 Jan 2023, 07:30
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Let the number of students in this school be 100.
Therefore, there will be 60 first year, and 40 second year.
We are told that 25% of second year students get aid. 0.25*40=10
We are also told that 50% of first year students get aid. 0.5*60=30
The total number of students who get aid is 40, and since we have 100 total students, the chance is: 40/100=2/5 which is the same as answer choice B .
Therefore, there will be 60 first year, and 40 second year.
We are told that 25% of second year students get aid. 0.25*40=10
We are also told that 50% of first year students get aid. 0.5*60=30
The total number of students who get aid is 40, and since we have 100 total students, the chance is: 40/100=2/5 which is the same as answer choice B .
06 Jan 2023, 08:11
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Bunuel
We can arrange the information presented in a 2 * 2 matrix as shown.
Assume the number of students = 100
After we have mapped the information, the number of students receiving financial aid = 40
Required Probability = \(\frac{40 }{ 100} = \frac{2}{5}\)
Option B
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