11) A student is selecting books from a library shelf. There are 6 fiction books and 4 non-fiction books. If the student needs to choose 2 books, how many ways can it be done such that both of the selected books are either fiction or non-fiction?



Answer :

Final answer:

The sample space and sum of probabilities in book selection scenarios. Calculating the probability of selecting different types of books from a set.


Explanation:

The sample space for randomly selecting one book is:

  1. 1F, 2F, 3F, 4F, 5F, 6F, 7F, 8F, 1N, 2N*, 3N, 4N

The sum of the probabilities of an event and its complement is always 1.

The probability of buying either a novel or a nonfiction book is 0.6 + 0.4 - 0.2 = 0.8.


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