belly-deep
Active member
- Joined
- Oct 31, 2009
- Messages
- 3,459
Secondly when Resident applicants outnumber Nonresident applicants to the tune of 5,376 to 672...there is no way NR's have an equal chance. Put 5,376 red beans in a sack along with 672 blue ones. Draw 100 beans from the sack and tell me how often you draw 50 red and 50 blue...
You are correct in that statement.
But that scenario does NOT accurately represent the draw in 270.
To accurately represent what is going on, you would need to put 6048 beas in a sack with the "resident" beans numbered 1 - 5,376 and the "non-resident" beans numbered 5,377 - 6,048.
When you picked out the first bean, you would have an equal chance of picking any bean from 1 to 6,048. So on and so forth until the 100th (or 85th) bean is chosen. That is why I keep stating the residents and non residents have an equal chance drawing as long as the NR cap of 10 tags is not met. When that quota is met, then the remaining beans numbered 5,377 - 6,048 are taken out and the remaining "resident" beans have 662 less beans to compete with.
What you are trying to demonstrate with the colored bean scenario is exactly what I have said--non residents will have a better chance drawing as a group with 10 guaranteed tags. But that doesn't help you draw.
Seriously Buzz, go run this by a stats teacher. I was in college just a couple years ago...you've been away from the books for a while.