You know that the probability that an event, E, occurs, is P(E). This value is equal to the number of outcomes you are interested in, N(E), divided by the total number of outcomes in the sample space, N(S).
Probability of an Event
P(Event) =\( \frac{N(E)}{N(S)} \)
Whether or not it rains today, the kind of shoes you choose to wear, and the time you eat dinner are all events.
Some events occur by themselves while other events take place together. When two events occur together and one event does not affect the outcome of the other, those events are said to be independent events. If one event affects the outcome of another, then those events are dependent events.
Question
In probability, what is the fundamental difference between independent events and dependent events?
The difference is that with independent events, the result of the first event does not influence the probability of the second event, but with dependent events, the result of the first event does influence the probability of the second event.
