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* Any weighted average of [[iid]] sequences of random variables is exchangeble. See in particular [[de Finetti's theorem]].
* Suppose an urn contains ''n'' red and ''m'' blue marbles. Suppose marbles are drawn without replacement until the urn is empty. Let ''X''<sub>''i''</sub> be the indicator random variable of the event that the ''i''th marble drawn is red. Then {''X''<sub>''i''</sub>}<sub>''i''=1,...''n''</sub> is an exchangeable sequence. This sequence cannot be extended to any longer
* Let ''X''<sub>1</sub>, ''X''<sub>2</sub>, ''X''<sub>3</sub>, ... be exchangeable random variables, taking real values and such that E(''X''<sub>''i''</sub> <sup>2</sup>) < ∞. Then E(''X''<sub>1</sub> ''X''<sub>2</sub>) ≥ 0.
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