SOLUTION: In a certain college, 25% of boys and
10% of the girls are studying mathematics.
The girls constitute 60% of the student
body. If a student is selected at random
and studyi
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-> SOLUTION: In a certain college, 25% of boys and
10% of the girls are studying mathematics.
The girls constitute 60% of the student
body. If a student is selected at random
and studyi
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Question 1118873: In a certain college, 25% of boys and
10% of the girls are studying mathematics.
The girls constitute 60% of the student
body. If a student is selected at random
and studying mathematics, determine the
probability that the student is a girl. Answer by ikleyn(52803) (Show Source):
Let N be the total number of students in the college.
Then the number of girls in the college G = 0.6*N (1)
the number of boys in the college B = 0.4*N (2)
the number of boys studying Math BM = 0.25*B = 0.25*(0.4*N) = 0.1*N (3)
the number of girls studying Math GM = 0.1*G = 0.1*(0.6*N) = 0.06*N (4)
the number of students studying Math M = BM + GM = 0.1N + 0.06N = 0.16N (5)
The problem question is about the ratio , i.e. the ratio (4) to (5), which is = = = 0.375 = 37.5%.
