There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?
A
\(\frac{m}{12}\)
B
\(\frac{12}{m}\)
C
\(\frac{12}{m+12}\)
D
\(\frac{12}{m-12}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
- Number of favourable outcomes = number of girls = 12
- Total number of possible outcomes = total students = m boys + 12 girls = m + 12
Therefore,
Probability of selecting a girl = \(\dfrac{\text{Number of girls}}{\text{Total number of students}} = \dfrac{12}{m + 12}\).
Source: Myschool Past Questions Archive (Record #26624)