Statistical independence: Difference between revisions
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imported>Anita Banser (Independent Events Formula) |
imported>Anita Banser (Independence Examples) |
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Events A and B are said to be independent if the probability of A occurring is not affected by the probability of B occurring and vice versa. | Events A and B are said to be independent if the probability of A occurring is not affected by the probability of B occurring and vice versa. | ||
==Formula== | ===Formula=== | ||
Two events are said to be independent if the probability of both events occurring is equal to the multiple of the probabilities of each event. | Two events are said to be independent if the probability of both events occurring is equal to the multiple of the probabilities of each event. | ||
[[Image:Independence.png]] | [[Image:Independence.png]] | ||
====Examples==== | |||
* Rolling a 2 on a fair 6 sided die, and then rolling a 3 on second try. The probability of getting a 2 on the first roll is not affected by the probability of getting a 3 on the second roll, or vice versa. | |||
* The outcome of subsequent coin tosses are independent of previous outcomes. i.e. the probability of getting a head or tail on a fair coin is always the same regardless of the outcome of previous tosses. | |||
Revision as of 04:37, 6 August 2008
Events A and B are said to be independent if the probability of A occurring is not affected by the probability of B occurring and vice versa.
Formula
Two events are said to be independent if the probability of both events occurring is equal to the multiple of the probabilities of each event.
Examples
- Rolling a 2 on a fair 6 sided die, and then rolling a 3 on second try. The probability of getting a 2 on the first roll is not affected by the probability of getting a 3 on the second roll, or vice versa.
- The outcome of subsequent coin tosses are independent of previous outcomes. i.e. the probability of getting a head or tail on a fair coin is always the same regardless of the outcome of previous tosses.