Posts Tagged ‘ probability ’

What are the odds of … winning the lottery?

February 14, 2013
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What are the odds of winning the lottery?  This seems like a simple question (and yes, there is a simple answer), but there are a few technical details to work out first... Which lottery?  Let's say the Powerball Lottery. When? The number of balls us...
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Example 9.21: The birthday "problem" re-examined

February 23, 2012
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Example 9.21: The birthday "problem" re-examined

The so-called birthday paradox or birthday problem is simply the counter-intutitive discovery that the probability of (at least) two people in a group sharing a birthday goes up surprisingly fast as the group size increases. If the group is only 23 peo...
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Example 8.36: Quadratic equation with real roots

April 29, 2011
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Example 8.36: Quadratic equation with real roots

We often simulate data in SAS or R to confirm analytical results. For example, consider the following problem from the excellent text by Rice:Let U1, U2, and U3 be independent random variables uniform on . What is the probability that the roots...
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