An independent probability is a probability that is not based on any other event.
An example of an independent probability is a coin toss. Each toss is independent, i.e. not related to, any prior coin toss.
An example of a dependent probability is the probability of drawing a second Ace from a deck of cards. The probability of the second Ace is dependent on whether or not a first Ace was drawn or not. (You can generalize this to any two cards because the sample space for the first card is 52, while the sample space for the second card is 51.)
No, the combined probability is the product of the probability of their separate occurrances.
It may or may not be - it depends on the events.
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
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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.
What is the difference between dependant and independent events in terms of probability
you choose the independent variable, for example to see if aspirin helps bee stings, you choose whether or not to put it on. Aspirin is the independent variable, probability is not involved.
No, the combined probability is the product of the probability of their separate occurrances.
They are independent, because the probability of the first event does not affect the probability of the second event.
If it's an independent event then it's probability does not depend on preceding events. For example, if I flip a coin twice the probability that the coin will show 'heads' the second time is independent of what happened the first time; it's just 1/2.
It may or may not be - it depends on the events.
When you have independent events which have a constant probability of occurrence over an interval of space or time.
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
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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.
If A and B are independent, then you can multiply the two probabilities
Independent events with a probability of zero