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In October 1994 ,a flaw in a certain Pentium chip installed in computers was discovered that...

In October 1994 ,a flaw in a certain Pentium chip installed in computers was discovered that could result in a wrong answer when performing a division. The manufacturer initially claimed that the chance of any division being incorrect was only 1 in 9 billion, so that it would take thousands of years before a typical user encountered a mistake. However, some modern statistical techniques are so computationally intensive that a billion divisions over a short time period is not uncommon. Assuming that the 1-in-9-billion figure is correct and that the results of different divisions are independent of one another, what is the probability that at least one error occurs in 1 billion divisions with this chip?

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