The two events that are most likely independent are:
A. Wearing sunscreen and getting a sunburn.
Wearing sunscreen may reduce the likelihood of getting a sunburn, indicating a potential dependence. However, if we consider the scenarios where sunscreen is applied incorrectly or not at all, or the individual is exposed to extreme sun conditions, the two events still have a degree of independence.
The other options suggest some degree of dependence:
-
B. Graduating high school and enrolling in college are typically related because graduation is a prerequisite for college enrollment.
-
C. Liking the taste of coffee and drinking coffee every day are clearly related since liking the taste often influences daily consumption.
-
D. Having a female math teacher and having a male science teacher might suggest some context of school demographics but does not determine independence since gender distribution in teaching staff can be correlated.
While option A is not a perfect example of independence, it does represent a scenario where the events might occur without direct influence on one another, especially in specific contexts.