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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]They are not totally independent, but also not totally dependent.  But your point is taken.

The takeaway is that college admission is NOT a lottery system like some posters claimed.

If your stats puts on in the game, you want to apply to AS MANY top 20 as possible!!![/quote]

In mathematical terms, related to game theory, they are totally independent events, in that the outcome of one does not affect the outcome of another.

https://mathematicalmysteries.org/independent-and-dependent-events/

But as noted, despite that you cannot use game theory because you can’t know the starting odds of your admission the way you can know that you have a 1 in 52 chance of drawing the 8 of hearts from a full deck of cards.[/quote] The occurrence of one does affect the probability of the others also occurring. If a student is in at MIT and Harvard, there is a greater than 4% chance of them also being in at Princeton.[/quote]

What was the student’s odds at Princeton before they were accepted to MIT and Harvard?  How did they change AFTER acceptance to MIT and Harvard? (They didn’t).

That is what dependent events are - that change the likelihood.  If the likelihood does NOT change, they are independent events. Game Theory requires independent events for the formula shown to work.

You are speaking about correlation.  https://en.m.wikipedia.org/wiki/Correlation.

Do not use game theory when developing a college application strategy.[/quote]

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