Final answer:
The Fundamental Counting Principle is used to determine the probabilities of independent events by multiplying the number of possible outcomes for each event.
Step-by-step explanation:
The Fundamental Counting Principle is used to determine the probabilities of independent events because it allows us to multiply the number of possible outcomes for each event to find the total number of possible outcomes for the combination of events. This is based on the idea that when two events are independent, the outcome of one event does not affect the outcome of the other event.
For example, if there are 3 possible outcomes for event A and 4 possible outcomes for event B, there would be a total of 3 x 4 = 12 possible outcomes for the combination of events A and B.
By using the Fundamental Counting Principle, we can calculate the probability of the combination of events by dividing the number of favorable outcomes (outcomes where both events occur) by the total number of possible outcomes.