Question
Download Solution PDFIn a certain college, 25% of boys and 10% of girls are studying Mathematics. The girls constitute 60% of the student body. The probability that mathematics being studied is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation -
Let's assume there are 100 students in this college for simplicity.
Given that 60% of the students are girls, this means there are 60 girls and 40 boys in the college.
Now, we know that 10% of the girls and 25% of the boys are studying Mathematics.
So Number of girls studying Mathematics = 10% of 60 = 0.10 x 60 = 6
Number of boys studying Mathematics = 25% of 40 = 0.25 x 40 = 10
the total number of students studying Mathematics = 6 (girls) + 10 (boys) = 16
Probability = Number of students studying Mathematics / Total number of students = 16 / 100 = 4/25 = 0.16
So, the probability that a student chosen at random is studying Mathematics is 4/25.
Hence the option(2) is correct.
Last updated on May 26, 2025
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