P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
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It depends on whether or not the events are independent.
If the events are independent then you can multiply the individual probabilities. But if they are not, you have to use conditional probabilities.
Multiply the possible outcomes of the events in the disjoint events
That will depends entirely on how the two events are related. For instance, there may be a weak correlation, or a strong correlation, between two probabilities. You really need more information, about how the events are related. There is no single simple rule.
The answer depends on whether or not the two variables are independent.