Of the students in a college

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

3. Of the students in a college, it is known that 60%60 \% reside in hostel and 40%40 \% are day scholars (not residing in hostel). Previous year results report that 30%30 \% of all students who reside in hostel attain A grade and 20%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 college and he has an A grade, what is the probability that the student is a hostlier?

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