A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

Explanation

To solve the problem step by step, we need to find the probability that the remaining books in the bag contain 3 books on mathematics after selecting 10 books, of which 6 are mathematics books.

### Step 1: Define the total number of books
Let’s denote:
- Total books = 20 (comprising physics and mathematics)
- Let \( x \) be the number of mathematics books in the bag.
- Therefore, the number of physics books = \( 20 - x \).

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