Question

In a class of 45 students, 80% students took Hindi as course while 60% took English. A student is picked up at random. Find the probability that student studies both English and Hindi.
1. 3/4
2. 1/7
3. 2/5
4. 1/5

Answer 1

Correct Answer - Option 3 : 2/5

Given:

In a class of 45 students, 80% students took Hindi as course while 60% took English.

A student is picked up at random.

Concepts used:

Total number of students = Number of students who took English as course + Number of students who took Hindi as course – Number of students who took both Hindi and English as course

Calculation:

Total students = 45

80% students took Hindi as course while 60% took English.

⇒ Number of students who took Hindi as course = 80% of 45 = 36

⇒ Number of students who took English as course = 60% of 45 = 27

⇒ Number of students who took both English and Hindi as course = 36 + 27 – 45 = 18

⇒ P (Student studies both English and Hindi curse) = 18/45 = 2/5

∴ Probability that student picked at random took both English and Hindi as course is 2/5.