Geometry

Question Analysis
This question involves the application of conditional probability in a book - selection scenario without replacement.
The main focus is on determining how the first event (selecting a math book) impacts the probability of the second event (selecting a science book).

Key Concept Explanation
Conditional probability helps us find the likelihood of an event occurring when we have prior knowledge of another event.
In non - replacement situations, the sample space and the number of favorable outcomes for subsequent events are modified based on the previous event.

Step-by-Step Solution
When the first book drawn is a math book, the total number of books left in the box is