Answer :

Let P(E_{1}) be the probability of students residing in hostel.

Let P(E_{2}) be the probability of day scholar students.

30% of hostel students get an A grade

⇒ P (E│E_{1} ) = 30% = 0.3

20% of day scholar students get an A grade

By Baye’s Theorem

∴ the probability that the ‘A’ grade student chosen is a hostler is;

= 0.692

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