Quote:
Originally Posted by vivek16
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)
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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.