Nebraska Lottery, odds of 1 in a million?

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SUMMARY

The Nebraska Lottery's Pick 3 game experienced a rare occurrence where the same number, 196, was drawn consecutively. The initial claim of "one in a million" odds is misleading; the actual odds of repeating any number in successive draws are significantly higher due to the independent nature of each draw. With six draws per week, the expected frequency of a repeated number in a year is approximately 0.313, leading to a 95.6% chance of such an event occurring at least once in a decade.

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http://www.msnbc.msn.com/id/28802581/

Headline says: "Neb lottery draws same numbers twice in a row. The odds of such an occurrence? One is a million.

To begin with it was not the lottery, it was the pick 3, the number being 196. One in a million?
 
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If you have a 3-digit number to guess, you have one chance in a thousand of nailing it. What are the chances that you will be successful on a successive draw using ANY numbers (not just the same numbers)?
 
Clearly they are using base 100.
 
robert Ihnot said:
http://www.msnbc.msn.com/id/28802581/

Headline says: "Neb lottery draws same numbers twice in a row. The odds of such an occurrence? One is a million.

To begin with it was not the lottery, it was the pick 3, the number being 196. One in a million?

Heh. The three people who won that whopping $600 must be feeling a little short changed. After all, it was a one-in-a-million event, right? :smile: We live in a magical world.
 
1 in a million if specified in advance of the two drawings; the usual 1 in 1000 after the first pick since they're independent
 
There are six draws a week: Nebraska Pick 3, and thus 312 to 314 drawings per year (average 313.04..., call it 313). The expected number of times in a given year that a drawing repeats the previous one is 0.313. The chance that it happens in a given decade is 1 - .999^3130 = 95.6...%.
 

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