Question

N a class of 40 students 25 have opted Hindi as second language (event A). 35 students got first class (event B) in the examinations of which 20 had taken Hindi as second language. It is found that a student picked at random has secured first class. The probability P(A/B) that this student has taken Hindi as second language is

(a)4/7
(b)5/8
(c)7/8
(d)1/2​

Answer 1

The probability that a student who got a first class has taken Hindi as a second language is 4/7.

Step-by-step explanation:

To find the probability P(A/B), we need to use the conditional probability formula:

1. Probability of event A and B happening: P(A and B) = 20/40 = 1/2
2. Probability of event B happening: P(B) = 35/40 = 7/8

Substituting these values into the conditional probability formula:

P(A/B) = P(A and B) / P(B) = (1/2) / (7/8) = 4/7

Therefore, the probability P(A/B) that this student has taken Hindi as the second language is (a) 4/7.