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If you mean the probability that independent events will occur, it is the product of the individual probabilities that they occur. Ex: Probability of picking a red marble from a jar with 4 red and 6 green marbles and picking a black card from a deck of 52.
P(red) = 4/10 = 2/5
P(black card0 = 26/52 = 1/2
P(both) = 2/5 x 1/2 = 1/5
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What events are such that the occurrence of one does not change the probability of other events?
Independent events.
Is probability independent?
It may or may not be - it depends on the events.
Can independent events exist in reality?
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.
How do you find the probability of two distincve events?
It depends on whether or not the events are independent.
What is the probability of a compound event?
It depends on whether or not the events are independent.
