Out of students in a school, it is known that 65% reside in hostel and 35% are day scholars. Previous year results report that 40% of the students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the class.

Probability of the selected student attaining grade A is:

$\frac{33}{100}$

The correct answer is Option (1) - $\frac{33}{100}$