Certainly! Let's solve this problem step by step:
1. List of books and their word counts:
- Book 1: 1000 words
- Book 2: 2000 words
- Book 3: 3000 words
- Book 4: 4000 words
- Book 5: 5000 words
2. Identify the books that are shorter than 1800 words:
- Only Book 1 has fewer than 1800 words (1000 words).
3. Count the total number of books:
- There are 5 books in total.
4. Count the number of shorter books (books with fewer than 1800 words):
- There is only 1 such book (Book 1).
5. Calculate the probability of selecting two shorter books in a row:
Since there is only 1 book with fewer than 1800 words, it's impossible to select two shorter books in a row from the available books. Therefore, the probability is 0.
So the probability that Imogen selects two books, both of which are shorter than 1800 words, is:
[tex]\[ \boxed{0} \][/tex]
However, if the problem posed a scenario with at least two books shorter than 1800 words, the solution would involve combinatorial probability principles.
