Dependent events:- An event that affected by the previous events.
For the dependent events, we can take an example of Bag which contains, three red $(3R)$balls and two black$(2R)$ balls.
We want to draw two balls from the bag, what is the probability that both are red(Without replacement)
Without Replacement:- the events are Dependent (the chances change)
Independent Events:- the occurrence of one event does not affect the occurrence of the others e.g if we flip a coin two times, the first time may show a head, but the next time when we flip the coin the outcome will also be heads. From this example, we can see the first event does not affect the occurrence of the next event.
For the independent events, We want to draw two balls from the bag, what is the probability that both are red(With replacement)
With Replacement:- the events are Independent (the chances don't change)
Mutually exclusive events:- two events are the mutually exclusive event when they cannot occur at the same time. e.g if we flip a coin it can only show a head or a tail, not both.
For Mutual exclusive(disjoint) events