What Is The Difference Between Independent And Dependent Events

Your odds of winning the lotto if you buy a ticket might be 1 1.

If a and b are independent events the probability of both events occurring is the product of the probabilities of the individual events. Being able to tell the difference between a dependent and independent event is vitally important in solving probability questions. Two or more events are dependent if the outcome of one event affects the outcome of the other s. So winning the lotto and buying a ticket are dependent events.

Independent and dependent events. Imagine a single event. When the occurrence of one event affects the occurrence of another subsequent event the two events are dependent events. The dependent variable is dependent on the independent variable.

Independent events do not affect one another and do not increase or decrease the probability of another event happening. Otherwise they are said to be dependent events. For instance if we look at the probability of someone going to the shops and. Two events are said to be independent events if the two events have no effect on one another.

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These events are independent because only one can occur at a time. That depends upon you buying a ticket. Dependent events means that one event has had an effect on the other. What is the difference between dependent event and independent event.

The concept of dependent events gives rise to the concept of conditional probability. Dependent events influence the probability of other events or their probability of occurring is affected by other events. Otherwise they are said to be dependent events. If two events a and b are independent then p a b p a.

The difference between independent and dependent events an independent event is one whose outcome is not based on the outcome of another event and one whose outcome does not affect the outcome of another event whereas a dependent event is the opposite of an independent event in that its outcome does affect or is affected by the outcome of another event. If the occurrence or non occurrence of e1 does not affect the probability of occurrence of e2 then p e2 e1 p e2 and e1 and e2 are said to be independent events. Browse more topics under probability. Two events are independent if the result of the second event is not affected by the result of the first event.

A dependent variable is the variable being tested and measured in a scientific experiment.