In a class of 40 students, there are 16 girls and 24 boys. Out of these, ten are ‘A’ students. If a student is chosen at random, what is the probability of choosing an ‘A’ student?

# In a class of 40 students, there are 16 girls and 24 boys. Out of these, ten are 'A' students. If a student is chosen at random, what is the probability of choosing an 'A' student?

1. A

2. B

3. C

4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Given that in a class of 40 students, there are 16 girls and 24 boys and out of these, ten are 'A' students.
We need to find the probability that if a student is chosen at random, it is an ‘A’ student.
Probability of an event E is defined as:
$P\left(E\right)=\frac{\mathit{Number of favorable outcomes}}{\mathit{Total number of possible outcomes}}$
There are 40 students in the class.
Therefore, the total number of possible outcomes is 40.
There are 10 'A' students, therefore the number of favorable outcomes is 10.
Let   be the event that a 'A' student is selected from a class of 40 students.
Now, the probability of selecting a 'A' student is,

The probability of selecting a 'A' student is  .
Therefore, option 4 is correct.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)