Geometry

Question Analysis
This question applies the concept of independent events to a real - life classroom situation.
The main focus is on recognizing the independence of the two events and using the multiplication rule to find the probability of both events occurring.

Key Concept Explanation
For independent events, the occurrence of one event does not influence the occurrence of the other.
The probability of two independent events A and B happening is given by P(A and B) = P(A) × P(B).

Step-by-Step Solution
The probability that a student likes math, P(Math) = 0.5.
The probability that a student likes science, P(Science) = 0.4.
Since these are independent events, the probability that a student likes both math and science is P(Math and Science) = P(Math) × P(Science) = 0.5 × 0.4 = 0.2.<...