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Old 05-02-2008, 08:22 AM
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GaryVoshol GaryVoshol is offline
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Re: Is competing at multiple regionals REALLY fair ?

Quote:
Originally Posted by vivek16 View Post
Here is the thing:

No matter how many regionals you go to, your overall probability of getting to nationals stays the same.

one regional - 3/50

two regionals - 6/100

three regionals - 9/150

and so on.

-Vivek

(sorry if this was already mentioned)
It's been a long time since I took statistics. But I think you're logic is flawed.

First, you assume that each team has an equal chance of winning the game. We'll overlook that for the time being.

But each regional is a unique event. If winning is truly random, the chances of winning one are independent of winning another. Therefore

1 regional - 3/50
2 regionals - 3/50 + 3/50
3 regionals - 3/50 + 3/50 + 3/50
etc.
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