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The occurrence of one event does not affect the occurrence of the other event. Take for example tossing a coin. The first toss has no affect on the outcome of the second toss, so these events are independent.
They are independent events.
Dependent probability is the probability of an event which changes according to the outcome of some other event.
Independent events.
The event whose occurrence is not relying on other the other event is independent e.g the occurance of Head in a coin throw is not dependent on other side, the Tail, so it is an independent event. When two events are depending on each other in order to gain a required result, the events are said to be dependant.