Why would the students chances be 0% if their scores are in top 25% of accepted students and check most or all the boxes? |
| Also please stop using the term game theory. This is simple high school probability, although it might be in Harvards remedial math class |
Every time this board had a high stats kid rejected from all t20, every one jumped out to say, oh but college admission is a lottery! Is it? Is it not? Feels like catch 22. |
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Math is hard, people are stupid, the two don’t mix well in the majority of cases.
College admissions is not game theory nor is it all about just academic credentials. Kids need to have realistic expectations pick targets, reaches and safeties that make sense for them. |
compare to getting into a car crash. A car crash is simply physics of one car hitting another for whatever reason. You don't have someone pulling numbers out of a hat. But you can model the probability and insurance companies do it all the time. |
Yes, as I stated earlier, I was confused as to why this concept was being invoked. John Nash didn't win his Nobel on a topic remotely close to what we have been discussing here. |
A variety of possibilities. Sometimes an admissions office has a list of high schools that they aren’t accepting from that year. Not to mention that “all of the boxes” can vary over the course of an admissions season, and the day an application is read and the person reading it can make the difference between a chance and no chance. |
Problem is you don’t know if it is or isn’t. And you also don’t know what “boxes they check” or don’t. Any formula that starts with a guess/assumption/number from your butt gives a result that is a guess/assumption/number from your butt. Whether applying to college or playing blackjack. Game theory is a terrible way to design a college application strategy. If it weren’t then every college counselor would be advocating it. They don’t. |
that makes it more random, not less |
Yes, they do it all the time, for a large group of people, not just for one person. College applicants are one person. Why is this so hard to understand? Do you think every applicant with the stats for Harvard has the same 4% chance of admission? |
Do you realize how low of chance 4% already is? It is the same as having 1 thru 25 numbered balls in a binding and picking the right one on the first try. Very hard. |
| Look at it another way. Do you really think that an applicant those stats are in the top 25% of accepted applicants to T20 and checks most boxes, has less than a coin flip chance (55% assuming 4% at each) of getting into at least one of the T20, assuming they apply to all 20? |
No no no no no no no. You have essentially said that every applicant has the same chance of admission. They don’t. And no applicant knows the difference. Certainly not enough to use a probability formula to develop an application strategy. It is not the same as picking a number from a finite set. You have no idea how many balls are in the jar, so you don’t know what the odds are of you picking the right one. It’s a useless number with no practical application. |
no one is trying to determine an actual probability , to calculate insurance premiums or whatever It is enough to point out 1) they are independent events 2) there is enough randomness 3) that only one acceptance is sufficient |
You have no idea what that person’s odds are of getting into a top 20 college is the fn point. No formula can tell you. If it were as simple as you make it, advisors would tell kids “You don’t need reach-match-safety, just apply to all top 20 and you’ll likely get into one!” They don’t do that. Why do you think that is? |