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? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
$35$
B
$29$
C
$34$
D
$14$

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 (E) = \frac{Number of favorable outcomes}{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

E

be the event that a 'A' student is selected from a class of 40 students.
Now, the probability of selecting a 'A' student is,

P E = 1040 ⇒ P (E) = 14

The probability of selecting a 'A' student is

14

.
Therefore, option 4 is correct.

Solution:

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