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Yes. Independent events can exist in reality. Dependent events means that one event has had an effect on the other. For instance, if we look at the probability of someone going to the shops, and the probability of them buying an apple, the latter is clearly dependent on the former. Independent events are simply events that don't have this connection. The probability of one does not influence or predict the probability of the other. For instance, if I studied the probability of you going to see a film on a particular day, and the probability of someone in China getting a hole in one in Golf, these are very clearly independent events.
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Do you multiply for dependent events?
No, you multiply for independent events.
If A and B are independent events than A and B' are independent?
Yes.
What are dependent and independent probability in math terms?
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
What events are such that the occurrence of one does not change the probability of other events?
Independent events.
How are probabilities of independent events alike?
They are not!
