SGMVols
Sophomoric Member
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You have to beat FL and GA to get to ATL.. BAMA is the evil empire .. Vandy and SC traditionally are not a factor in the East[/QUOTE]
Exactly, that's why we won the East last year.
Er, um, nevermind. :ermm:
So you are saying at the beginning of each season,, For us to ATL we have to beat Vandy and USC:crazy:
According to those probabilities, the probability of beating all 3 of GT, GA and uSCe is 26.6%
The odds of beating both Kentucky and Vanderbilt is 48.7%.
Gonna be a long year when we lose games our fanbase think we are "supposed" to win.ilot:
I don't think it does, but I am open to discuss it. As an engineer, I've had enough math to get a basic understanding of probability.
So, feel free to enlighten me with your methodology for calculating the probability of beating Kentucky and Vanderbilt based on the probabilities given.
It doesn't work like that. Using the same method the probability that Tennessee loses to all three is just 3.8%. That does not add up.
The probability that Tennessee wins all three is actually 65.2%. Add the percentages and divide by 300.
It does work like that you just have no concept of how probability is computed.
Using ESPN's FPI numbers as the base probability of success, UT has a 3.8% chance to lose all three of those games. That doesn't take into account CBJ's struggle with Muschamp, or any other factor, that's just using the FPI numbers, and they are correct. According the FPI projections as ESPN has calculated them, UT has a very low chance of losing all three of those games.
When determining the probability of independent events, P(A and B) = P(A) × P(B); you do not add the percentages and divide by the combined denominators.
The probability of you flipping a coin twice and getting heads both times, and rolling a six-sided dice and getting a 6 at the same time is 1/2*1/2*1/6= 4.16%. The fact that your thumb is 4 inches wide or that you toss the dice with your left hand doesn't matter, because that's not how probability works.
You can argue with ESPN's FPI calculations all day long, but but that's not going to change how probability is computed.
And it might be time to consider a different major IMHO.
The problem is that none of these calculations are statistically correct and cannot predict whether or not three separate events happen or don't happen.
Take the example of making free throws.
A person has made 3 of 4, so based on this so called math a person has only a 42.2 percent chance of making all of the next three.
The problem, when the person makes the first one - now their average is 80%. So is the chance they make the next two still 42% or has it increased to 51% since they made the first one.
Then if they make the second of the first three the percentage is now 83.3% so is the percentage that they make the next one still 42 percent or 69.4%?
Seriously, how are you a "math major" and you don't understand basic probability?hmy:
What you are describing is computing a percentage of success, that is not the same as computing the probability of success.
If you are a basketball player, who shoots free throws with a perfect 30% success rate, the probability of you making a single free throw, is 30%. 30% of the time, you should be successful in a single free throw. If you have to go up and shoot two free throws, that doesn't change the fact that you are still shooting with a probability of success at 30%. Hence, the chance of you making two free throws in a row, is P(A and B)=P(A)*P(B), .3 *.3= 9%. Because you only make free throws with a probability of success at 30%, when you have to make two shots, 9% of the time you will make both of them, and 91% of the time you will either make only one or miss both.
You do realize there are different views on probability calculations.
The purist version would imply that a player shooting a free throw, regardless of past history, always has a 50% change of making a free throw because there are only 2 outcomes and one of the two can happen. And for every game played every college football team would have a 50% chance of winning no matter how many games played. The team can win or lose the game. Only 2 outcomes are possible for 1 event.
But most factor in what has happened over time for situations that are identical - what they are really using is an average of success based on repeating the same event over and over again and use that to predict future outcomes. The thought is that over time the true probability emerges.
Even Frequentist probability does not align with your definition as that would use "number of made free throws" divided by "number attempted" to predict the probability that the next one is made. So the probability associated with the next event is based on all past events.
There are 5 different mathematical calculations for probability - not just one.