Final answer:
Ebele's likelihood of choosing a maths book is 3/5, for an English book 2/5, for either type it is certain (probability of 1), and impossible (probability of 0) for a non-maths English book because there are only maths and English books in the collection.
Step-by-step explanation:
The question deals with the probability of Ebele picking a book. With 10 books in total, 6 are maths books and 4 are English books.
- Probability of picking a maths book: There are 6 maths books out of 10 total books, so the probability that Ebele picks a maths book is 6/10 or 3/5.
- Probability of picking an English book: There are 4 English books out of 10, so the probability that Ebele picks an English book is 4/10 or 2/5.
- Probability of picking either a maths or an English book: Since the collection consists only of maths and English books, the probability of picking either a maths or an English book is 1, because there are no other types of books in the collection.
- Probability of picking neither a maths nor an English book: This probability is 0, as there are no other kinds of books besides maths and English books in the collection.
It is important to note that the sum of the probabilities of an event and its complement is always 1, as shown in the example provided in the question's preamble.