Question

Determine whether the following events are independent or dependent. A college student is chosen at random. The events are "being a freshman" and "being less than 20 years old."

Could you explain why these events are considered independent or dependent?

Answer 1

Being a freshman and being less than 20 years old are independent events.

Step-by-step explanation:

The events of 'being a freshman' and 'being less than 20 years old' are independent events.

To determine if two events are independent, we need to check if the knowledge of one event affects the probability of the other event occurring.

In this case, being a freshman does not affect the probability of being less than 20 years old, and being less than 20 years old does not affect the probability of being a freshman.

Therefore, the events 'being a freshman' and 'being less than 20 years old' are considered independent.