What does independent mean in probability?
If two events are independent, we can describe the probability of one happening without considering whether the other has already occurred. If the probability of an event happening is P, and that event is independent of another event, then we can describe the probability of the first happening as P multiplied by the probability of the second event happening.
What does independence mean in statistics?
In probability, two events A and B are said to be independent if the occurrence of one event does not change the probability of the other. For example, let's say you have two tests, Test A and Test B. If you get a passing grade on Test A, that does not automatically mean you will get a passing grade on Test B. However, if you fail Test B, then you are more likely to fail Test A as well. In other words, failing Test B makes it less
What is independence in probability?
If two events occur independently, that means that the probability of one happening does not influence the probability of the other happening. This is true even if you know whether the first event happened or not.
What does independent mean in statistics?
At first glance, it may seem redundant to say that two events are independent if they do not depend on each other. But in statistics, “independent” refers to two realizations of an event on a probability space being unrelated to one another. In other words, the probability of one event happening is not affected by whether or not the other event happened.
What does independence mean in probability and statistics?
Independence is the idea that the occurrence of one event does not affect the probability that the other event will occur. For example, let's say you buy a lottery ticket. The chance of you winning the lottery is very small. On the other hand, the chance of you winning the lottery if you buy two tickets is still quite small. In this example, the outcomes are independent because the chance of your winning the lottery does not change if you buy one or two tickets.
