Geometry

Question Analysis
This question involves conditional probability in the context of a class survey about students' subject preferences.
The main focus is on using the given numbers of students with different preferences to apply the conditional probability formula and find the probability of a student liking science given that they like math.

Key Concept Explanation
The formula is used to calculate the conditional probability.
Here, is the event that a student likes science, is the event that a student likes math, is the number of students who like both math and science, and is the number of students who like math.

Step-by-Step Solution
Identify the relevant numbers:
Let